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• How to Write a Strong Hypothesis | Guide & Examples

How to Write a Strong Hypothesis | Guide & Examples

Published on 6 May 2022 by Shona McCombes .

A hypothesis is a statement that can be tested by scientific research. If you want to test a relationship between two or more variables, you need to write hypotheses before you start your experiment or data collection.

Table of contents

What is a hypothesis, developing a hypothesis (with example), hypothesis examples, frequently asked questions about writing hypotheses.

A hypothesis states your predictions about what your research will find. It is a tentative answer to your research question that has not yet been tested. For some research projects, you might have to write several hypotheses that address different aspects of your research question.

A hypothesis is not just a guess – it should be based on existing theories and knowledge. It also has to be testable, which means you can support or refute it through scientific research methods (such as experiments, observations, and statistical analysis of data).

Variables in hypotheses

Hypotheses propose a relationship between two or more variables . An independent variable is something the researcher changes or controls. A dependent variable is something the researcher observes and measures.

In this example, the independent variable is exposure to the sun – the assumed cause . The dependent variable is the level of happiness – the assumed effect .

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Step 1: ask a question.

Writing a hypothesis begins with a research question that you want to answer. The question should be focused, specific, and researchable within the constraints of your project.

Step 2: Do some preliminary research

Your initial answer to the question should be based on what is already known about the topic. Look for theories and previous studies to help you form educated assumptions about what your research will find.

At this stage, you might construct a conceptual framework to identify which variables you will study and what you think the relationships are between them. Sometimes, you’ll have to operationalise more complex constructs.

Step 3: Formulate your hypothesis

Now you should have some idea of what you expect to find. Write your initial answer to the question in a clear, concise sentence.

Step 4: Refine your hypothesis

You need to make sure your hypothesis is specific and testable. There are various ways of phrasing a hypothesis, but all the terms you use should have clear definitions, and the hypothesis should contain:

• The relevant variables
• The specific group being studied
• The predicted outcome of the experiment or analysis

Step 5: Phrase your hypothesis in three ways

To identify the variables, you can write a simple prediction in if … then form. The first part of the sentence states the independent variable and the second part states the dependent variable.

In academic research, hypotheses are more commonly phrased in terms of correlations or effects, where you directly state the predicted relationship between variables.

If you are comparing two groups, the hypothesis can state what difference you expect to find between them.

Step 6. Write a null hypothesis

If your research involves statistical hypothesis testing , you will also have to write a null hypothesis. The null hypothesis is the default position that there is no association between the variables. The null hypothesis is written as H 0 , while the alternative hypothesis is H 1 or H a .

Hypothesis testing is a formal procedure for investigating our ideas about the world using statistics. It is used by scientists to test specific predictions, called hypotheses , by calculating how likely it is that a pattern or relationship between variables could have arisen by chance.

A hypothesis is not just a guess. It should be based on existing theories and knowledge. It also has to be testable, which means you can support or refute it through scientific research methods (such as experiments, observations, and statistical analysis of data).

A research hypothesis is your proposed answer to your research question. The research hypothesis usually includes an explanation (‘ x affects y because …’).

A statistical hypothesis, on the other hand, is a mathematical statement about a population parameter. Statistical hypotheses always come in pairs: the null and alternative hypotheses. In a well-designed study , the statistical hypotheses correspond logically to the research hypothesis.

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What is and How to Write a Good Hypothesis in Research?

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Table of Contents

One of the most important aspects of conducting research is constructing a strong hypothesis. But what makes a hypothesis in research effective? In this article, we’ll look at the difference between a hypothesis and a research question, as well as the elements of a good hypothesis in research. We’ll also include some examples of effective hypotheses, and what pitfalls to avoid.

What is a Hypothesis in Research?

Simply put, a hypothesis is a research question that also includes the predicted or expected result of the research. Without a hypothesis, there can be no basis for a scientific or research experiment. As such, it is critical that you carefully construct your hypothesis by being deliberate and thorough, even before you set pen to paper. Unless your hypothesis is clearly and carefully constructed, any flaw can have an adverse, and even grave, effect on the quality of your experiment and its subsequent results.

Research Question vs Hypothesis

It’s easy to confuse research questions with hypotheses, and vice versa. While they’re both critical to the Scientific Method, they have very specific differences. Primarily, a research question, just like a hypothesis, is focused and concise. But a hypothesis includes a prediction based on the proposed research, and is designed to forecast the relationship of and between two (or more) variables. Research questions are open-ended, and invite debate and discussion, while hypotheses are closed, e.g. “The relationship between A and B will be C.”

A hypothesis is generally used if your research topic is fairly well established, and you are relatively certain about the relationship between the variables that will be presented in your research. Since a hypothesis is ideally suited for experimental studies, it will, by its very existence, affect the design of your experiment. The research question is typically used for new topics that have not yet been researched extensively. Here, the relationship between different variables is less known. There is no prediction made, but there may be variables explored. The research question can be casual in nature, simply trying to understand if a relationship even exists, descriptive or comparative.

How to Write Hypothesis in Research

Writing an effective hypothesis starts before you even begin to type. Like any task, preparation is key, so you start first by conducting research yourself, and reading all you can about the topic that you plan to research. From there, you’ll gain the knowledge you need to understand where your focus within the topic will lie.

Remember that a hypothesis is a prediction of the relationship that exists between two or more variables. Your job is to write a hypothesis, and design the research, to “prove” whether or not your prediction is correct. A common pitfall is to use judgments that are subjective and inappropriate for the construction of a hypothesis. It’s important to keep the focus and language of your hypothesis objective.

An effective hypothesis in research is clearly and concisely written, and any terms or definitions clarified and defined. Specific language must also be used to avoid any generalities or assumptions.

Use the following points as a checklist to evaluate the effectiveness of your research hypothesis:

• Predicts the relationship and outcome
• Simple and concise – avoid wordiness
• Clear with no ambiguity or assumptions about the readers’ knowledge
• Observable and testable results
• Relevant and specific to the research question or problem

Research Hypothesis Example

Perhaps the best way to evaluate whether or not your hypothesis is effective is to compare it to those of your colleagues in the field. There is no need to reinvent the wheel when it comes to writing a powerful research hypothesis. As you’re reading and preparing your hypothesis, you’ll also read other hypotheses. These can help guide you on what works, and what doesn’t, when it comes to writing a strong research hypothesis.

Here are a few generic examples to get you started.

Eating an apple each day, after the age of 60, will result in a reduction of frequency of physician visits.

Budget airlines are more likely to receive more customer complaints. A budget airline is defined as an airline that offers lower fares and fewer amenities than a traditional full-service airline. (Note that the term “budget airline” is included in the hypothesis.

Workplaces that offer flexible working hours report higher levels of employee job satisfaction than workplaces with fixed hours.

Each of the above examples are specific, observable and measurable, and the statement of prediction can be verified or shown to be false by utilizing standard experimental practices. It should be noted, however, that often your hypothesis will change as your research progresses.

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How to Write a Research Hypothesis: Good & Bad Examples

What is a research hypothesis?

A research hypothesis is an attempt at explaining a phenomenon or the relationships between phenomena/variables in the real world. Hypotheses are sometimes called “educated guesses”, but they are in fact (or let’s say they should be) based on previous observations, existing theories, scientific evidence, and logic. A research hypothesis is also not a prediction—rather, predictions are ( should be) based on clearly formulated hypotheses. For example, “We tested the hypothesis that KLF2 knockout mice would show deficiencies in heart development” is an assumption or prediction, not a hypothesis. 

The research hypothesis at the basis of this prediction is “the product of the KLF2 gene is involved in the development of the cardiovascular system in mice”—and this hypothesis is probably (hopefully) based on a clear observation, such as that mice with low levels of Kruppel-like factor 2 (which KLF2 codes for) seem to have heart problems. From this hypothesis, you can derive the idea that a mouse in which this particular gene does not function cannot develop a normal cardiovascular system, and then make the prediction that we started with. 

What is the difference between a hypothesis and a prediction?

You might think that these are very subtle differences, and you will certainly come across many publications that do not contain an actual hypothesis or do not make these distinctions correctly. But considering that the formulation and testing of hypotheses is an integral part of the scientific method, it is good to be aware of the concepts underlying this approach. The two hallmarks of a scientific hypothesis are falsifiability (an evaluation standard that was introduced by the philosopher of science Karl Popper in 1934) and testability —if you cannot use experiments or data to decide whether an idea is true or false, then it is not a hypothesis (or at least a very bad one).

So, in a nutshell, you (1) look at existing evidence/theories, (2) come up with a hypothesis, (3) make a prediction that allows you to (4) design an experiment or data analysis to test it, and (5) come to a conclusion. Of course, not all studies have hypotheses (there is also exploratory or hypothesis-generating research), and you do not necessarily have to state your hypothesis as such in your paper. 

But for the sake of understanding the principles of the scientific method, let’s first take a closer look at the different types of hypotheses that research articles refer to and then give you a step-by-step guide for how to formulate a strong hypothesis for your own paper.

Types of Research Hypotheses

Hypotheses can be simple , which means they describe the relationship between one single independent variable (the one you observe variations in or plan to manipulate) and one single dependent variable (the one you expect to be affected by the variations/manipulation). If there are more variables on either side, you are dealing with a complex hypothesis. You can also distinguish hypotheses according to the kind of relationship between the variables you are interested in (e.g., causal or associative ). But apart from these variations, we are usually interested in what is called the “alternative hypothesis” and, in contrast to that, the “null hypothesis”. If you think these two should be listed the other way round, then you are right, logically speaking—the alternative should surely come second. However, since this is the hypothesis we (as researchers) are usually interested in, let’s start from there.

Alternative Hypothesis

If you predict a relationship between two variables in your study, then the research hypothesis that you formulate to describe that relationship is your alternative hypothesis (usually H1 in statistical terms). The goal of your hypothesis testing is thus to demonstrate that there is sufficient evidence that supports the alternative hypothesis, rather than evidence for the possibility that there is no such relationship. The alternative hypothesis is usually the research hypothesis of a study and is based on the literature, previous observations, and widely known theories. 

Null Hypothesis

The hypothesis that describes the other possible outcome, that is, that your variables are not related, is the null hypothesis ( H0 ). Based on your findings, you choose between the two hypotheses—usually that means that if your prediction was correct, you reject the null hypothesis and accept the alternative. Make sure, however, that you are not getting lost at this step of the thinking process: If your prediction is that there will be no difference or change, then you are trying to find support for the null hypothesis and reject H1. 

Directional Hypothesis

While the null hypothesis is obviously “static”, the alternative hypothesis can specify a direction for the observed relationship between variables—for example, that mice with higher expression levels of a certain protein are more active than those with lower levels. This is then called a one-tailed hypothesis. 

Another example for a directional one-tailed alternative hypothesis would be that 

H1: Attending private classes before important exams has a positive effect on performance. 

Your null hypothesis would then be that

H0: Attending private classes before important exams has no/a negative effect on performance.

Nondirectional Hypothesis

A nondirectional hypothesis does not specify the direction of the potentially observed effect, only that there is a relationship between the studied variables—this is called a two-tailed hypothesis. For instance, if you are studying a new drug that has shown some effects on pathways involved in a certain condition (e.g., anxiety) in vitro in the lab, but you can’t say for sure whether it will have the same effects in an animal model or maybe induce other/side effects that you can’t predict and potentially increase anxiety levels instead, you could state the two hypotheses like this:

H1: The only lab-tested drug (somehow) affects anxiety levels in an anxiety mouse model.

You then test this nondirectional alternative hypothesis against the null hypothesis:

H0: The only lab-tested drug has no effect on anxiety levels in an anxiety mouse model.

How to Write a Hypothesis for a Research Paper

Now that we understand the important distinctions between different kinds of research hypotheses, let’s look at a simple process of how to write a hypothesis.

Writing a Hypothesis Step:1

Ask a question, based on earlier research. Research always starts with a question, but one that takes into account what is already known about a topic or phenomenon. For example, if you are interested in whether people who have pets are happier than those who don’t, do a literature search and find out what has already been demonstrated. You will probably realize that yes, there is quite a bit of research that shows a relationship between happiness and owning a pet—and even studies that show that owning a dog is more beneficial than owning a cat ! Let’s say you are so intrigued by this finding that you wonder: 

What is it that makes dog owners even happier than cat owners? 

Let’s move on to Step 2 and find an answer to that question.

Writing a Hypothesis Step 2:

Formulate a strong hypothesis by answering your own question. Again, you don’t want to make things up, take unicorns into account, or repeat/ignore what has already been done. Looking at the dog-vs-cat papers your literature search returned, you see that most studies are based on self-report questionnaires on personality traits, mental health, and life satisfaction. What you don’t find is any data on actual (mental or physical) health measures, and no experiments. You therefore decide to make a bold claim come up with the carefully thought-through hypothesis that it’s maybe the lifestyle of the dog owners, which includes walking their dog several times per day, engaging in fun and healthy activities such as agility competitions, and taking them on trips, that gives them that extra boost in happiness. You could therefore answer your question in the following way:

Dog owners are happier than cat owners because of the dog-related activities they engage in.

Now you have to verify that your hypothesis fulfills the two requirements we introduced at the beginning of this resource article: falsifiability and testability . If it can’t be wrong and can’t be tested, it’s not a hypothesis. We are lucky, however, because yes, we can test whether owning a dog but not engaging in any of those activities leads to lower levels of happiness or well-being than owning a dog and playing and running around with them or taking them on trips.  

Writing a Hypothesis Step 3:

Make your predictions and define your variables. We have verified that we can test our hypothesis, but now we have to define all the relevant variables, design our experiment or data analysis, and make precise predictions. You could, for example, decide to study dog owners (not surprising at this point), let them fill in questionnaires about their lifestyle as well as their life satisfaction (as other studies did), and then compare two groups of active and inactive dog owners. Alternatively, if you want to go beyond the data that earlier studies produced and analyzed and directly manipulate the activity level of your dog owners to study the effect of that manipulation, you could invite them to your lab, select groups of participants with similar lifestyles, make them change their lifestyle (e.g., couch potato dog owners start agility classes, very active ones have to refrain from any fun activities for a certain period of time) and assess their happiness levels before and after the intervention. In both cases, your independent variable would be “ level of engagement in fun activities with dog” and your dependent variable would be happiness or well-being . 

Examples of a Good and Bad Hypothesis

Let’s look at a few examples of good and bad hypotheses to get you started.

Good Hypothesis Examples

Bad hypothesis examples, tips for writing a research hypothesis.

If you understood the distinction between a hypothesis and a prediction we made at the beginning of this article, then you will have no problem formulating your hypotheses and predictions correctly. To refresh your memory: We have to (1) look at existing evidence, (2) come up with a hypothesis, (3) make a prediction, and (4) design an experiment. For example, you could summarize your dog/happiness study like this:

(1) While research suggests that dog owners are happier than cat owners, there are no reports on what factors drive this difference. (2) We hypothesized that it is the fun activities that many dog owners (but very few cat owners) engage in with their pets that increases their happiness levels. (3) We thus predicted that preventing very active dog owners from engaging in such activities for some time and making very inactive dog owners take up such activities would lead to an increase and decrease in their overall self-ratings of happiness, respectively. (4) To test this, we invited dog owners into our lab, assessed their mental and emotional well-being through questionnaires, and then assigned them to an “active” and an “inactive” group, depending on… 

Note that you use “we hypothesize” only for your hypothesis, not for your experimental prediction, and “would” or “if – then” only for your prediction, not your hypothesis. A hypothesis that states that something “would” affect something else sounds as if you don’t have enough confidence to make a clear statement—in which case you can’t expect your readers to believe in your research either. Write in the present tense, don’t use modal verbs that express varying degrees of certainty (such as may, might, or could ), and remember that you are not drawing a conclusion while trying not to exaggerate but making a clear statement that you then, in a way, try to disprove . And if that happens, that is not something to fear but an important part of the scientific process.

Similarly, don’t use “we hypothesize” when you explain the implications of your research or make predictions in the conclusion section of your manuscript, since these are clearly not hypotheses in the true sense of the word. As we said earlier, you will find that many authors of academic articles do not seem to care too much about these rather subtle distinctions, but thinking very clearly about your own research will not only help you write better but also ensure that even that infamous Reviewer 2 will find fewer reasons to nitpick about your manuscript. 

Perfect Your Manuscript With Professional Editing

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On the Wordvice academic resources website , you can also find many more articles and other resources that can help you with writing the other parts of your research paper , with making a research paper outline before you put everything together, or with writing an effective cover letter once you are ready to submit.

How to Write a Research Hypothesis

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Since grade school, we've all been familiar with hypotheses. The hypothesis is an essential step of the scientific method. But what makes an effective research hypothesis, how do you create one, and what types of hypotheses are there? We answer these questions and more.

Updated on April 27, 2022

What is a research hypothesis?

General hypothesis.

Since grade school, we've all been familiar with the term “hypothesis.” A hypothesis is a fact-based guess or prediction that has not been proven. It is an essential step of the scientific method. The hypothesis of a study is a drive for experimentation to either prove the hypothesis or dispute it.

Research Hypothesis

A research hypothesis is more specific than a general hypothesis. It is an educated, expected prediction of the outcome of a study that is testable.

What makes an effective research hypothesis?

A good research hypothesis is a clear statement of the relationship between a dependent variable(s) and independent variable(s) relevant to the study that can be disproven.

Research hypothesis checklist

Once you've written a possible hypothesis, make sure it checks the following boxes:

• It must be testable: You need a means to prove your hypothesis. If you can't test it, it's not a hypothesis.
• It must include a dependent and independent variable: At least one independent variable ( cause ) and one dependent variable ( effect ) must be included.
• The language must be easy to understand: Be as clear and concise as possible. Nothing should be left to interpretation.
• It must be relevant to your research topic: You probably shouldn't be talking about cats and dogs if your research topic is outer space. Stay relevant to your topic.

How to create an effective research hypothesis

Pose it as a question first.

Start your research hypothesis from a journalistic approach. Ask one of the five W's: Who, what, when, where, or why.

A possible initial question could be: Why is the sky blue?

Do the preliminary research

Once you have a question in mind, read research around your topic. Collect research from academic journals.

If you're looking for information about the sky and why it is blue, research information about the atmosphere, weather, space, the sun, etc.

Write a draft hypothesis

Once you're comfortable with your subject and have preliminary knowledge, create a working hypothesis. Don't stress much over this. Your first hypothesis is not permanent. Look at it as a draft.

Your first draft of a hypothesis could be: Certain molecules in the Earth's atmosphere are responsive to the sky being the color blue.

Make your working draft perfect

Take your working hypothesis and make it perfect. Narrow it down to include only the information listed in the “Research hypothesis checklist” above.

Now that you've written your working hypothesis, narrow it down. Your new hypothesis could be: Light from the sun hitting oxygen molecules in the sky makes the color of the sky appear blue.

Write a null hypothesis

Your null hypothesis should be the opposite of your research hypothesis. It should be able to be disproven by your research.

In this example, your null hypothesis would be: Light from the sun hitting oxygen molecules in the sky does not make the color of the sky appear blue.

Why is it important to have a clear, testable hypothesis?

One of the main reasons a manuscript can be rejected from a journal is because of a weak hypothesis. “Poor hypothesis, study design, methodology, and improper use of statistics are other reasons for rejection of a manuscript,” says Dr. Ish Kumar Dhammi and Dr. Rehan-Ul-Haq in Indian Journal of Orthopaedics.

According to Dr. James M. Provenzale in American Journal of Roentgenology , “The clear declaration of a research question (or hypothesis) in the Introduction is critical for reviewers to understand the intent of the research study. It is best to clearly state the study goal in plain language (for example, “We set out to determine whether condition x produces condition y.”) An insufficient problem statement is one of the more common reasons for manuscript rejection.”

Characteristics that make a hypothesis weak include:

• Unclear variables
• Unoriginality
• Too general
• Too specific

A weak hypothesis leads to weak research and methods . The goal of a paper is to prove or disprove a hypothesis - or to prove or disprove a null hypothesis. If the hypothesis is not a dependent variable of what is being studied, the paper's methods should come into question.

A strong hypothesis is essential to the scientific method. A hypothesis states an assumed relationship between at least two variables and the experiment then proves or disproves that relationship with statistical significance. Without a proven and reproducible relationship, the paper feeds into the reproducibility crisis. Learn more about writing for reproducibility .

In a study published in The Journal of Obstetrics and Gynecology of India by Dr. Suvarna Satish Khadilkar, she reviewed 400 rejected manuscripts to see why they were rejected. Her studies revealed that poor methodology was a top reason for the submission having a final disposition of rejection.

Aside from publication chances, Dr. Gareth Dyke believes a clear hypothesis helps efficiency.

“Developing a clear and testable hypothesis for your research project means that you will not waste time, energy, and money with your work,” said Dyke. “Refining a hypothesis that is both meaningful, interesting, attainable, and testable is the goal of all effective research.”

Types of research hypotheses

There can be overlap in these types of hypotheses.

Simple hypothesis

A simple hypothesis is a hypothesis at its most basic form. It shows the relationship of one independent and one independent variable.

Example: Drinking soda (independent variable) every day leads to obesity (dependent variable).

Complex hypothesis

A complex hypothesis shows the relationship of two or more independent and dependent variables.

Example: Drinking soda (independent variable) every day leads to obesity (dependent variable) and heart disease (dependent variable).

Directional hypothesis

A directional hypothesis guesses which way the results of an experiment will go. It uses words like increase, decrease, higher, lower, positive, negative, more, or less. It is also frequently used in statistics.

Example: Humans exposed to radiation have a higher risk of cancer than humans not exposed to radiation.

Non-directional hypothesis

A non-directional hypothesis says there will be an effect on the dependent variable, but it does not say which direction.

Associative hypothesis

An associative hypothesis says that when one variable changes, so does the other variable.

Alternative hypothesis

An alternative hypothesis states that the variables have a relationship.

• The opposite of a null hypothesis

Example: An apple a day keeps the doctor away.

Null hypothesis

A null hypothesis states that there is no relationship between the two variables. It is posed as the opposite of what the alternative hypothesis states.

Researchers use a null hypothesis to work to be able to reject it. A null hypothesis:

• Can never be proven
• Can only be rejected
• Is the opposite of an alternative hypothesis

Example: An apple a day does not keep the doctor away.

Logical hypothesis

A logical hypothesis is a suggested explanation while using limited evidence.

Example: Bats can navigate in the dark better than tigers.

In this hypothesis, the researcher knows that tigers cannot see in the dark, and bats mostly live in darkness.

Empirical hypothesis

An empirical hypothesis is also called a “working hypothesis.” It uses the trial and error method and changes around the independent variables.

• An apple a day keeps the doctor away.
• Two apples a day keep the doctor away.
• Three apples a day keep the doctor away.

In this case, the research changes the hypothesis as the researcher learns more about his/her research.

Statistical hypothesis

A statistical hypothesis is a look of a part of a population or statistical model. This type of hypothesis is especially useful if you are making a statement about a large population. Instead of having to test the entire population of Illinois, you could just use a smaller sample of people who live there.

Example: 70% of people who live in Illinois are iron deficient.

Causal hypothesis

A causal hypothesis states that the independent variable will have an effect on the dependent variable.

Example: Using tobacco products causes cancer.

Final thoughts

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How to Develop a Good Research Hypothesis

The story of a research study begins by asking a question. Researchers all around the globe are asking curious questions and formulating research hypothesis. However, whether the research study provides an effective conclusion depends on how well one develops a good research hypothesis. Research hypothesis examples could help researchers get an idea as to how to write a good research hypothesis.

This blog will help you understand what is a research hypothesis, its characteristics and, how to formulate a research hypothesis

Table of Contents

What is Hypothesis?

Hypothesis is an assumption or an idea proposed for the sake of argument so that it can be tested. It is a precise, testable statement of what the researchers predict will be outcome of the study.  Hypothesis usually involves proposing a relationship between two variables: the independent variable (what the researchers change) and the dependent variable (what the research measures).

What is a Research Hypothesis?

Research hypothesis is a statement that introduces a research question and proposes an expected result. It is an integral part of the scientific method that forms the basis of scientific experiments. Therefore, you need to be careful and thorough when building your research hypothesis. A minor flaw in the construction of your hypothesis could have an adverse effect on your experiment. In research, there is a convention that the hypothesis is written in two forms, the null hypothesis, and the alternative hypothesis (called the experimental hypothesis when the method of investigation is an experiment).

Characteristics of a Good Research Hypothesis

As the hypothesis is specific, there is a testable prediction about what you expect to happen in a study. You may consider drawing hypothesis from previously published research based on the theory.

A good research hypothesis involves more effort than just a guess. In particular, your hypothesis may begin with a question that could be further explored through background research.

To help you formulate a promising research hypothesis, you should ask yourself the following questions:

• Is the language clear and focused?
• What is the relationship between your hypothesis and your research topic?
• Is your hypothesis testable? If yes, then how?
• What are the possible explanations that you might want to explore?
• Does your hypothesis include both an independent and dependent variable?
• Can you manipulate your variables without hampering the ethical standards?
• Does your research predict the relationship and outcome?
• Is your research simple and concise (avoids wordiness)?
• Is it clear with no ambiguity or assumptions about the readers’ knowledge
• Is your research observable and testable results?
• Is it relevant and specific to the research question or problem?

The questions listed above can be used as a checklist to make sure your hypothesis is based on a solid foundation. Furthermore, it can help you identify weaknesses in your hypothesis and revise it if necessary.

Source: Educational Hub

How to formulate a research hypothesis.

A testable hypothesis is not a simple statement. It is rather an intricate statement that needs to offer a clear introduction to a scientific experiment, its intentions, and the possible outcomes. However, there are some important things to consider when building a compelling hypothesis.

1. State the problem that you are trying to solve.

Make sure that the hypothesis clearly defines the topic and the focus of the experiment.

2. Try to write the hypothesis as an if-then statement.

Follow this template: If a specific action is taken, then a certain outcome is expected.

3. Define the variables

Independent variables are the ones that are manipulated, controlled, or changed. Independent variables are isolated from other factors of the study.

Dependent variables , as the name suggests are dependent on other factors of the study. They are influenced by the change in independent variable.

4. Scrutinize the hypothesis

Evaluate assumptions, predictions, and evidence rigorously to refine your understanding.

Types of Research Hypothesis

The types of research hypothesis are stated below:

1. Simple Hypothesis

It predicts the relationship between a single dependent variable and a single independent variable.

2. Complex Hypothesis

It predicts the relationship between two or more independent and dependent variables.

3. Directional Hypothesis

It specifies the expected direction to be followed to determine the relationship between variables and is derived from theory. Furthermore, it implies the researcher’s intellectual commitment to a particular outcome.

4. Non-directional Hypothesis

It does not predict the exact direction or nature of the relationship between the two variables. The non-directional hypothesis is used when there is no theory involved or when findings contradict previous research.

5. Associative and Causal Hypothesis

The associative hypothesis defines interdependency between variables. A change in one variable results in the change of the other variable. On the other hand, the causal hypothesis proposes an effect on the dependent due to manipulation of the independent variable.

6. Null Hypothesis

Null hypothesis states a negative statement to support the researcher’s findings that there is no relationship between two variables. There will be no changes in the dependent variable due the manipulation of the independent variable. Furthermore, it states results are due to chance and are not significant in terms of supporting the idea being investigated.

7. Alternative Hypothesis

It states that there is a relationship between the two variables of the study and that the results are significant to the research topic. An experimental hypothesis predicts what changes will take place in the dependent variable when the independent variable is manipulated. Also, it states that the results are not due to chance and that they are significant in terms of supporting the theory being investigated.

Research Hypothesis Examples of Independent and Dependent Variables

Research Hypothesis Example 1 The greater number of coal plants in a region (independent variable) increases water pollution (dependent variable). If you change the independent variable (building more coal factories), it will change the dependent variable (amount of water pollution).

Research Hypothesis Example 2 What is the effect of diet or regular soda (independent variable) on blood sugar levels (dependent variable)? If you change the independent variable (the type of soda you consume), it will change the dependent variable (blood sugar levels)

You should not ignore the importance of the above steps. The validity of your experiment and its results rely on a robust testable hypothesis. Developing a strong testable hypothesis has few advantages, it compels us to think intensely and specifically about the outcomes of a study. Consequently, it enables us to understand the implication of the question and the different variables involved in the study. Furthermore, it helps us to make precise predictions based on prior research. Hence, forming a hypothesis would be of great value to the research. Here are some good examples of testable hypotheses.

More importantly, you need to build a robust testable research hypothesis for your scientific experiments. A testable hypothesis is a hypothesis that can be proved or disproved as a result of experimentation.

Importance of a Testable Hypothesis

To devise and perform an experiment using scientific method, you need to make sure that your hypothesis is testable. To be considered testable, some essential criteria must be met:

• There must be a possibility to prove that the hypothesis is true.
• There must be a possibility to prove that the hypothesis is false.
• The results of the hypothesis must be reproducible.

Without these criteria, the hypothesis and the results will be vague. As a result, the experiment will not prove or disprove anything significant.

What are your experiences with building hypotheses for scientific experiments? What challenges did you face? How did you overcome these challenges? Please share your thoughts with us in the comments section.

Frequently Asked Questions

The steps to write a research hypothesis are: 1. Stating the problem: Ensure that the hypothesis defines the research problem 2. Writing a hypothesis as an 'if-then' statement: Include the action and the expected outcome of your study by following a ‘if-then’ structure. 3. Defining the variables: Define the variables as Dependent or Independent based on their dependency to other factors. 4. Scrutinizing the hypothesis: Identify the type of your hypothesis

Hypothesis testing is a statistical tool which is used to make inferences about a population data to draw conclusions for a particular hypothesis.

Hypothesis in statistics is a formal statement about the nature of a population within a structured framework of a statistical model. It is used to test an existing hypothesis by studying a population.

Research hypothesis is a statement that introduces a research question and proposes an expected result. It forms the basis of scientific experiments.

The different types of hypothesis in research are: • Null hypothesis: Null hypothesis is a negative statement to support the researcher’s findings that there is no relationship between two variables. • Alternate hypothesis: Alternate hypothesis predicts the relationship between the two variables of the study. • Directional hypothesis: Directional hypothesis specifies the expected direction to be followed to determine the relationship between variables. • Non-directional hypothesis: Non-directional hypothesis does not predict the exact direction or nature of the relationship between the two variables. • Simple hypothesis: Simple hypothesis predicts the relationship between a single dependent variable and a single independent variable. • Complex hypothesis: Complex hypothesis predicts the relationship between two or more independent and dependent variables. • Associative and casual hypothesis: Associative and casual hypothesis predicts the relationship between two or more independent and dependent variables. • Empirical hypothesis: Empirical hypothesis can be tested via experiments and observation. • Statistical hypothesis: A statistical hypothesis utilizes statistical models to draw conclusions about broader populations.

Wow! You really simplified your explanation that even dummies would find it easy to comprehend. Thank you so much.

Thanks a lot for your valuable guidance.

I enjoy reading the post. Hypotheses are actually an intrinsic part in a study. It bridges the research question and the methodology of the study.

Useful piece!

This is awesome.Wow.

It very interesting to read the topic, can you guide me any specific example of hypothesis process establish throw the Demand and supply of the specific product in market

Nicely explained

It is really a useful for me Kindly give some examples of hypothesis

It was a well explained content ,can you please give me an example with the null and alternative hypothesis illustrated

clear and concise. thanks.

So Good so Amazing

Good to learn

Thanks a lot for explaining to my level of understanding

Explained well and in simple terms. Quick read! Thank you

It awesome. It has really positioned me in my research project

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Research Paper Guide

How To Write A Hypothesis

Last updated on: Feb 8, 2023

How to Write a Hypothesis - A Step-by-Step Guide

By: Nathan D.

Reviewed By: Rylee W.

Published on: Jul 16, 2019

A hypothesis is generally a statement that a researcher has to test through scientific methods subjectively. Unlike a thesis statement, a hypothesis does not require a researcher to prove it right in any circumstance.

It is a statement that is developed prior to research, experiment, or data collection. In simple words, it is a proposed explanation for any idea, study, or phenomenon.

For  research paper writing , thesis, case studies, or dissertation, you will have to write a hypothesis first. Continue reading the article to learn how to write a good hypothesis effectively.

On this Page

What is a Hypothesis?

A hypothesis is a proposed or supposition explanation that a researcher forms based on limited reference about a specific phenomenon. This statement is further investigated to analyze its validity and significance.

A hypothesis statement is an initial point from where an investigation begins. Moreover, it translates the major research question into a prediction.

In professional terms, a hypothesis is an idea whose merit requires evaluation and interpretation. For this purpose, the researcher needs to define the specifics of the hypothesis in operational terms.

It requires a researcher to study in detail whether to approve it or disapprove of it. In this process, the hypothesis either becomes a part of the theory, or a theory itself.

Functions of Hypothesis

Learning the correct writing procedure is not enough if you are not aware of the basic functions that your hypothesis performs. To make your hypothesis stand out, understand the below-given functions

• First and foremost, a hypothesis contributes to making your research, observation, and experiment possible
• This helps in starting the basic investigation about the subject
• It verifies the observation
• It provides the right direction to your inquiries

Components of a Hypothesis

Like other sentences and statements, a hypothesis has major components that play a significant role in making it impactful. It is essential to learn about these parts when you are researching academics.

The following are the different components of the hypothesis:

How to Write a Hypothesis?

Just like every other formal or academic task, writing a hypothesis includes a process. Although there are no set of rules to follow while developing a hypothesis.

However, it is recommended that you follow some steps to ensure a quality statement. These steps will make it easier for you to formulate a strong hypothesis to provide a great direction for your research.

Following is a step-by-step- procedure to write a hypothesis.

1. Develop a Question

When writing a hypothesis, the first thing is to develop a research question that you want to answer in your research. The question that you will formulate should be specific, focused, and researchable within the constraints of your assignment.

2. Conduct a Basic Research

The initial answer to your research question will be spontaneous and based on pre-existing knowledge about the subject. Search for theories and information to form a basic assumption that you will investigate further.

At this stage of creating a hypothesis, a researcher can develop a conceptual framework to identify the variables and their relationship.

3. Develop a Rough Hypothesis

Formulate a rough statement on the available knowledge to provide an idea about what to expect from your research. Brainstorm the answer for this raw question and present it into a clear and concise sentence.

4. Refine the Statement Made

Now that you have a rough statement in hand, it is time to refine and make it a testable hypothesis. There are several ways to shape your hypothesis, but you can arrange your statement keeping in view the parts.

Make sure that your refined statement must contain the following things:

• Relevant variables
• The group being studied
• The predicted result of the research or experiment

5. Phrasing the Hypothesis

The hypothesis can be phrased in three ways. Depending on the requirement of the research and the field type, select a phrasing pattern.

• To phrase the hypothesis, identify the variables, use a simple prediction pattern of “if...then” form. Present the independent variable first and then the dependent variable in your hypothesis statement.
• When developing a hypothesis for academic research, you can choose correlation and effect phrasing. In this way, you directly present the predicted relationship between the two variables.
• If the statement compares the two groups, the paraphrasing of the hypothesis can be done by stating the expected difference.

6. Write a Null Hypothesis

If your research is based on statistical testing of the hypothesis, you will have to present a null hypothesis. The null hypothesis states that there is no relationship or association between the two variables.

How to Write a Null Hypothesis?

There are two types of hypotheses, the null hypothesis, and the alternative hypothesis. A null hypothesis states that there is no difference between certain characteristics of a population while an alternative hypothesis states otherwise.

So, how does a null hypothesis work? Below is a four-step process to come up with a null hypothesis.

• The analyst will come up with two hypotheses and test them.
• Next, he formulates an analysis plan and decides the ways through which those hypotheses would be analyzed.
• The sample data and hypotheses are evaluated and analyzed.
• The final step is to analyze the acquired results and decide whether the null hypothesis is correct or not.

Other than null analysis, alternative hypotheses are also used. An alternative hypothesis is opposite to the null hypothesis and they are independent of each other.

What kind of Sources should I Add to my Hypothesis

It is important to look for credible and relevant sources of information while writing a hypothesis for your  research proposal . A researcher has to consult these sources to check the reliability and validity of your primary idea.

In case you are wondering what sources will work best for your hypothesis, check out the following:

• Find relevant phenomena that have some resemblance to yours
• Evaluate the studies and observations from the past
• Analyze what the current time has to say about the idea
• Search the competitor’s ideas and opinions
• Analyze scientific theories
• Dig deeper into the patterns that influence people and their thinking

Types of Hypothesis

Depending on the field and  research methods  to collect data, hypotheses can have different types. When writing a research paper, it is essential to know all the types well to form a strong and relevant hypothesis.

Following are the six main types of hypothesis:

• Simple Hypothesis  - A simple hypothesis is a statement that shows a relationship between two variables; an independent and dependent variable. For example, doing exercise can help you lose weight faster. Here doing exercise is an independent variable while losing weight is dependent.
• Complex Hypothesis  - A complex hypothesis presents a relationship between two or more dependent and independent variables. For example, exercising and eating lots of vegetables can reduce weight and other fatal diseases such as heart disease.
• Directional Hypothesis  - A directional hypothesis is a statement that presents the researcher’s commitment to a particular result. Moreover, the relationship between different variables also predicts its nature. For example, people who are sleep-deprived for 24 hours will have more cold symptoms than those who oversleep.
• Non-Directional Hypothesis  - A non-directional hypothesis is used when there is no theory involved. It shows an existing relationship between two variables without highlighting the exact relationship’s nature.
• Null Hypothesis  - A null hypothesis states that there is no relationship between the two variables. Similarly, it also contended that there is not enough information to state the scientific hypothesis. The ‘H0’ symbol denotes this hypothesis.
• Alternative Hypothesis  - It is a statement that the research forms when he disapproves the null hypothesis. As the name suggests, it is an alternative statement to your null hypothesis highlighting the relationship between the variables. It is denoted by ‘H1’.
• Associative and Causal Hypothesis  - In an associative hypothesis, a change in one variable results in a difference in the other variable. On the other hand, the causal hypothesis presents a cause and effect interaction between the two variables.

Characteristics of a Good Hypothesis

Professional writers believe that a hypothesis has certain features that help it become stronger and more effective. These characteristics include:

• To make the hypothesis credible, it should be clear and precise
• If you have chosen a hypothesis type that will state the relationship between the two variables, it should be obvious
• A strong hypothesis is specific and has clear scope for conducting more studies and tests
• The explanation of the hypothesis must be simple. Keep in mind that the simplicity of the hypothesis has nothing to do with its significance

Only a strong hypothesis will motivate the readers to read the entire paper. So make sure that you carefully develop a hypothesis for your research.

Hypothesis Examples

If you are writing a paper for the first time, it is suggested by professionals to go through a few examples. It will help you understand the pattern in which you should be working.

Below-given are examples of how hypotheses are developed for different research experiments.

HOW TO WRITE A HYPOTHESIS FOR RESEARCH PAPER

HOW TO WRITE A HYPOTHESIS FOR SCIENTIFIC RESEARCH

Going through these examples will help you understand better which course of action should be chosen for your research. If it is still difficult for you to look for sources and write a compelling hypothesis, get help from professionals.

5StarEssays.com is a professional ‘ write my essay for me? ’ service that provides different academic writing services. Whether you are looking for an expert to write a compelling essay or any form of paper, we have your back.

Our experts draft all your assignments carefully, ensuring that each part is well-written and structured. Get your assignment today by simply placing your order at the most affordable price.

Frequently Asked Questions

How do you turn a question into a hypothesis.

You can change and transform a question into a hypothesis by changing it into a statement.

Is a hypothesis a prediction?

No, a hypothesis is not a prediction but rather a possibility. The researcher ‘hopes’ to obtain a certain kind of result through the experimentation. This possibility or expected results are the hypothesis.

Can a hypothesis be a question?

No, a hypothesis is and should be a statement and not a question.

Do all research papers have a hypothesis?

No, some research papers are based on exploratory research, which is used to develop the hypothesis. So, such a research paper does not need a hypothesis.

Masters Essay, College Admission Essay

Nathan completed his Ph.D. in journalism and has been writing articles for well-respected publications for many years now. His work is carefully researched and insightful, showing a true passion for the written word. Nathan's clients appreciate his expertise, deep understanding of the process, and ability to communicate difficult concepts clearly.

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Sat / act prep online guides and tips, what is a hypothesis and how do i write one.

General Education

Think about something strange and unexplainable in your life. Maybe you get a headache right before it rains, or maybe you think your favorite sports team wins when you wear a certain color. If you wanted to see whether these are just coincidences or scientific fact, you would form a hypothesis, then create an experiment to see whether that hypothesis is true or not.

But what is a hypothesis, anyway? If you’re not sure about what a hypothesis is--or how to test for one!--you’re in the right place. This article will teach you everything you need to know about hypotheses, including: 

• Defining the term “hypothesis” 
• Providing hypothesis examples 
• Giving you tips for how to write your own hypothesis

So let’s get started!

What Is a Hypothesis?

Merriam Webster defines a hypothesis as “an assumption or concession made for the sake of argument.” In other words, a hypothesis is an educated guess . Scientists make a reasonable assumption--or a hypothesis--then design an experiment to test whether it’s true or not. Keep in mind that in science, a hypothesis should be testable. You have to be able to design an experiment that tests your hypothesis in order for it to be valid. 

As you could assume from that statement, it’s easy to make a bad hypothesis. But when you’re holding an experiment, it’s even more important that your guesses be good...after all, you’re spending time (and maybe money!) to figure out more about your observation. That’s why we refer to a hypothesis as an educated guess--good hypotheses are based on existing data and research to make them as sound as possible.

Hypotheses are one part of what’s called the scientific method .  Every (good) experiment or study is based in the scientific method. The scientific method gives order and structure to experiments and ensures that interference from scientists or outside influences does not skew the results. It’s important that you understand the concepts of the scientific method before holding your own experiment. Though it may vary among scientists, the scientific method is generally made up of six steps (in order):

• Observation
• Asking questions
• Forming a hypothesis
• Analyze the data
• Communicate your results

You’ll notice that the hypothesis comes pretty early on when conducting an experiment. That’s because experiments work best when they’re trying to answer one specific question. And you can’t conduct an experiment until you know what you’re trying to prove!

Independent and Dependent Variables 

After doing your research, you’re ready for another important step in forming your hypothesis: identifying variables. Variables are basically any factor that could influence the outcome of your experiment . Variables have to be measurable and related to the topic being studied.

There are two types of variables:  independent variables and dependent variables. I ndependent variables remain constant . For example, age is an independent variable; it will stay the same, and researchers can look at different ages to see if it has an effect on the dependent variable. 

Speaking of dependent variables... dependent variables are subject to the influence of the independent variable , meaning that they are not constant. Let’s say you want to test whether a person’s age affects how much sleep they need. In that case, the independent variable is age (like we mentioned above), and the dependent variable is how much sleep a person gets. 

Variables will be crucial in writing your hypothesis. You need to be able to identify which variable is which, as both the independent and dependent variables will be written into your hypothesis. For instance, in a study about exercise, the independent variable might be the speed at which the respondents walk for thirty minutes, and the dependent variable would be their heart rate. In your study and in your hypothesis, you’re trying to understand the relationship between the two variables.

Elements of a Good Hypothesis

The best hypotheses start by asking the right questions . For instance, if you’ve observed that the grass is greener when it rains twice a week, you could ask what kind of grass it is, what elevation it’s at, and if the grass across the street responds to rain in the same way. Any of these questions could become the backbone of experiments to test why the grass gets greener when it rains fairly frequently.

As you’re asking more questions about your first observation, make sure you’re also making more observations . If it doesn’t rain for two weeks and the grass still looks green, that’s an important observation that could influence your hypothesis. You'll continue observing all throughout your experiment, but until the hypothesis is finalized, every observation should be noted.

Finally, you should consult secondary research before writing your hypothesis . Secondary research is comprised of results found and published by other people. You can usually find this information online or at your library. Additionally, m ake sure the research you find is credible and related to your topic. If you’re studying the correlation between rain and grass growth, it would help you to research rain patterns over the past twenty years for your county, published by a local agricultural association. You should also research the types of grass common in your area, the type of grass in your lawn, and whether anyone else has conducted experiments about your hypothesis. Also be sure you’re checking the quality of your research . Research done by a middle school student about what minerals can be found in rainwater would be less useful than an article published by a local university.

Writing Your Hypothesis

Once you’ve considered all of the factors above, you’re ready to start writing your hypothesis. Hypotheses usually take a certain form when they’re written out in a research report.

When you boil down your hypothesis statement, you are writing down your best guess and not the question at hand . This means that your statement should be written as if it is fact already, even though you are simply testing it.

The reason for this is that, after you have completed your study, you'll either accept or reject your if-then or your null hypothesis. All hypothesis testing examples should be measurable and able to be confirmed or denied. You cannot confirm a question, only a statement! 

In fact, you come up with hypothesis examples all the time! For instance, when you guess on the outcome of a basketball game, you don’t say, “Will the Miami Heat beat the Boston Celtics?” but instead, “I think the Miami Heat will beat the Boston Celtics.” You state it as if it is already true, even if it turns out you’re wrong. You do the same thing when writing your hypothesis.

Additionally, keep in mind that hypotheses can range from very specific to very broad.  These hypotheses can be specific, but if your hypothesis testing examples involve a broad range of causes and effects, your hypothesis can also be broad.  

The Two Types of Hypotheses

Now that you understand what goes into a hypothesis, it’s time to look more closely at the two most common types of hypothesis: the if-then hypothesis and the null hypothesis.

#1: If-Then Hypotheses

First of all, if-then hypotheses typically follow this formula:

If ____ happens, then ____ will happen.

The goal of this type of hypothesis is to test the causal relationship between the independent and dependent variable. It’s fairly simple, and each hypothesis can vary in how detailed it can be. We create if-then hypotheses all the time with our daily predictions. Here are some examples of hypotheses that use an if-then structure from daily life: 

• If I get enough sleep, I’ll be able to get more work done tomorrow.
• If the bus is on time, I can make it to my friend’s birthday party. 
• If I study every night this week, I’ll get a better grade on my exam. 

In each of these situations, you’re making a guess on how an independent variable (sleep, time, or studying) will affect a dependent variable (the amount of work you can do, making it to a party on time, or getting better grades). 

You may still be asking, “What is an example of a hypothesis used in scientific research?” Take one of the hypothesis examples from a real-world study on whether using technology before bed affects children’s sleep patterns. The hypothesis read s:

“We hypothesized that increased hours of tablet- and phone-based screen time at bedtime would be inversely correlated with sleep quality and child attention.”

It might not look like it, but this is an if-then statement. The researchers basically said, “If children have more screen usage at bedtime, then their quality of sleep and attention will be worse.” The sleep quality and attention are the dependent variables and the screen usage is the independent variable. (Usually, the independent variable comes after the “if” and the dependent variable comes after the “then,” as it is the independent variable that affects the dependent variable.) This is an excellent example of how flexible hypothesis statements can be, as long as the general idea of “if-then” and the independent and dependent variables are present.

#2: Null Hypotheses

Your if-then hypothesis is not the only one needed to complete a successful experiment, however. You also need a null hypothesis to test it against. In its most basic form, the null hypothesis is the opposite of your if-then hypothesis . When you write your null hypothesis, you are writing a hypothesis that suggests that your guess is not true, and that the independent and dependent variables have no relationship .

One null hypothesis for the cell phone and sleep study from the last section might say: 

“If children have more screen usage at bedtime, their quality of sleep and attention will not be worse.” 

In this case, this is a null hypothesis because it’s asking the opposite of the original thesis! 

Conversely, if your if-then hypothesis suggests that your two variables have no relationship, then your null hypothesis would suggest that there is one. So, pretend that there is a study that is asking the question, “Does the amount of followers on Instagram influence how long people spend on the app?” The independent variable is the amount of followers, and the dependent variable is the time spent. But if you, as the researcher, don’t think there is a relationship between the number of followers and time spent, you might write an if-then hypothesis that reads:

“If people have many followers on Instagram, they will not spend more time on the app than people who have less.”

In this case, the if-then suggests there isn’t a relationship between the variables. In that case, one of the null hypothesis examples might say:

“If people have many followers on Instagram, they will spend more time on the app than people who have less.”

You then test both the if-then and the null hypothesis to gauge if there is a relationship between the variables, and if so, how much of a relationship. 

4 Tips to Write the Best Hypothesis

If you’re going to take the time to hold an experiment, whether in school or by yourself, you’re also going to want to take the time to make sure your hypothesis is a good one. The best hypotheses have four major elements in common: plausibility, defined concepts, observability, and general explanation.

#1: Plausibility

At first glance, this quality of a hypothesis might seem obvious. When your hypothesis is plausible, that means it’s possible given what we know about science and general common sense. However, improbable hypotheses are more common than you might think. 

Imagine you’re studying weight gain and television watching habits. If you hypothesize that people who watch more than  twenty hours of television a week will gain two hundred pounds or more over the course of a year, this might be improbable (though it’s potentially possible). Consequently, c ommon sense can tell us the results of the study before the study even begins.

Improbable hypotheses generally go against  science, as well. Take this hypothesis example: 

“If a person smokes one cigarette a day, then they will have lungs just as healthy as the average person’s.” 

This hypothesis is obviously untrue, as studies have shown again and again that cigarettes negatively affect lung health. You must be careful that your hypotheses do not reflect your own personal opinion more than they do scientifically-supported findings. This plausibility points to the necessity of research before the hypothesis is written to make sure that your hypothesis has not already been disproven.

#2: Defined Concepts

The more advanced you are in your studies, the more likely that the terms you’re using in your hypothesis are specific to a limited set of knowledge. One of the hypothesis testing examples might include the readability of printed text in newspapers, where you might use words like “kerning” and “x-height.” Unless your readers have a background in graphic design, it’s likely that they won’t know what you mean by these terms. Thus, it’s important to either write what they mean in the hypothesis itself or in the report before the hypothesis.

Here’s what we mean. Which of the following sentences makes more sense to the common person?

If the kerning is greater than average, more words will be read per minute.

If the space between letters is greater than average, more words will be read per minute.

For people reading your report that are not experts in typography, simply adding a few more words will be helpful in clarifying exactly what the experiment is all about. It’s always a good idea to make your research and findings as accessible as possible. 

Good hypotheses ensure that you can observe the results. 

#3: Observability

In order to measure the truth or falsity of your hypothesis, you must be able to see your variables and the way they interact. For instance, if your hypothesis is that the flight patterns of satellites affect the strength of certain television signals, yet you don’t have a telescope to view the satellites or a television to monitor the signal strength, you cannot properly observe your hypothesis and thus cannot continue your study.

Some variables may seem easy to observe, but if you do not have a system of measurement in place, you cannot observe your hypothesis properly. Here’s an example: if you’re experimenting on the effect of healthy food on overall happiness, but you don’t have a way to monitor and measure what “overall happiness” means, your results will not reflect the truth. Monitoring how often someone smiles for a whole day is not reasonably observable, but having the participants state how happy they feel on a scale of one to ten is more observable. 

In writing your hypothesis, always keep in mind how you'll execute the experiment.

#4: Generalizability 

Perhaps you’d like to study what color your best friend wears the most often by observing and documenting the colors she wears each day of the week. This might be fun information for her and you to know, but beyond you two, there aren’t many people who could benefit from this experiment. When you start an experiment, you should note how generalizable your findings may be if they are confirmed. Generalizability is basically how common a particular phenomenon is to other people’s everyday life.

Let’s say you’re asking a question about the health benefits of eating an apple for one day only, you need to realize that the experiment may be too specific to be helpful. It does not help to explain a phenomenon that many people experience. If you find yourself with too specific of a hypothesis, go back to asking the big question: what is it that you want to know, and what do you think will happen between your two variables?

Hypothesis Testing Examples

We know it can be hard to write a good hypothesis unless you’ve seen some good hypothesis examples. We’ve included four hypothesis examples based on some made-up experiments. Use these as templates or launch pads for coming up with your own hypotheses.

Experiment #1: Students Studying Outside (Writing a Hypothesis)

You are a student at PrepScholar University. When you walk around campus, you notice that, when the temperature is above 60 degrees, more students study in the quad. You want to know when your fellow students are more likely to study outside. With this information, how do you make the best hypothesis possible?

You must remember to make additional observations and do secondary research before writing your hypothesis. In doing so, you notice that no one studies outside when it’s 75 degrees and raining, so this should be included in your experiment. Also, studies done on the topic beforehand suggested that students are more likely to study in temperatures less than 85 degrees. With this in mind, you feel confident that you can identify your variables and write your hypotheses:

If-then: “If the temperature in Fahrenheit is less than 60 degrees, significantly fewer students will study outside.”

Null: “If the temperature in Fahrenheit is less than 60 degrees, the same number of students will study outside as when it is more than 60 degrees.”

These hypotheses are plausible, as the temperatures are reasonably within the bounds of what is possible. The number of people in the quad is also easily observable. It is also not a phenomenon specific to only one person or at one time, but instead can explain a phenomenon for a broader group of people.

To complete this experiment, you pick the month of October to observe the quad. Every day (except on the days where it’s raining)from 3 to 4 PM, when most classes have released for the day, you observe how many people are on the quad. You measure how many people come  and how many leave. You also write down the temperature on the hour. 

After writing down all of your observations and putting them on a graph, you find that the most students study on the quad when it is 70 degrees outside, and that the number of students drops a lot once the temperature reaches 60 degrees or below. In this case, your research report would state that you accept or “failed to reject” your first hypothesis with your findings.

Experiment #2: The Cupcake Store (Forming a Simple Experiment)

Let’s say that you work at a bakery. You specialize in cupcakes, and you make only two colors of frosting: yellow and purple. You want to know what kind of customers are more likely to buy what kind of cupcake, so you set up an experiment. Your independent variable is the customer’s gender, and the dependent variable is the color of the frosting. What is an example of a hypothesis that might answer the question of this study?

Here’s what your hypotheses might look like: 

If-then: “If customers’ gender is female, then they will buy more yellow cupcakes than purple cupcakes.”

Null: “If customers’ gender is female, then they will be just as likely to buy purple cupcakes as yellow cupcakes.”

This is a pretty simple experiment! It passes the test of plausibility (there could easily be a difference), defined concepts (there’s nothing complicated about cupcakes!), observability (both color and gender can be easily observed), and general explanation ( this would potentially help you make better business decisions ).

Experiment #3: Backyard Bird Feeders (Integrating Multiple Variables and Rejecting the If-Then Hypothesis)

While watching your backyard bird feeder, you realized that different birds come on the days when you change the types of seeds. You decide that you want to see more cardinals in your backyard, so you decide to see what type of food they like the best and set up an experiment. 

However, one morning, you notice that, while some cardinals are present, blue jays are eating out of your backyard feeder filled with millet. You decide that, of all of the other birds, you would like to see the blue jays the least. This means you'll have more than one variable in your hypothesis. Your new hypotheses might look like this: 

If-then: “If sunflower seeds are placed in the bird feeders, then more cardinals will come than blue jays. If millet is placed in the bird feeders, then more blue jays will come than cardinals.”

Null: “If either sunflower seeds or millet are placed in the bird, equal numbers of cardinals and blue jays will come.”

Through simple observation, you actually find that cardinals come as often as blue jays when sunflower seeds or millet is in the bird feeder. In this case, you would reject your “if-then” hypothesis and “fail to reject” your null hypothesis . You cannot accept your first hypothesis, because it’s clearly not true. Instead you found that there was actually no relation between your different variables. Consequently, you would need to run more experiments with different variables to see if the new variables impact the results.

Experiment #4: In-Class Survey (Including an Alternative Hypothesis)

You’re about to give a speech in one of your classes about the importance of paying attention. You want to take this opportunity to test a hypothesis you’ve had for a while: 

If-then: If students sit in the first two rows of the classroom, then they will listen better than students who do not.

Null: If students sit in the first two rows of the classroom, then they will not listen better or worse than students who do not.

You give your speech and then ask your teacher if you can hand out a short survey to the class. On the survey, you’ve included questions about some of the topics you talked about. When you get back the results, you’re surprised to see that not only do the students in the first two rows not pay better attention, but they also scored worse than students in other parts of the classroom! Here, both your if-then and your null hypotheses are not representative of your findings. What do you do?

This is when you reject both your if-then and null hypotheses and instead create an alternative hypothesis . This type of hypothesis is used in the rare circumstance that neither of your hypotheses is able to capture your findings . Now you can use what you’ve learned to draft new hypotheses and test again! 

Key Takeaways: Hypothesis Writing

The more comfortable you become with writing hypotheses, the better they will become. The structure of hypotheses is flexible and may need to be changed depending on what topic you are studying. The most important thing to remember is the purpose of your hypothesis and the difference between the if-then and the null . From there, in forming your hypothesis, you should constantly be asking questions, making observations, doing secondary research, and considering your variables. After you have written your hypothesis, be sure to edit it so that it is plausible, clearly defined, observable, and helpful in explaining a general phenomenon.

Writing a hypothesis is something that everyone, from elementary school children competing in a science fair to professional scientists in a lab, needs to know how to do. Hypotheses are vital in experiments and in properly executing the scientific method . When done correctly, hypotheses will set up your studies for success and help you to understand the world a little better, one experiment at a time.

What’s Next?

If you’re studying for the science portion of the ACT, there’s definitely a lot you need to know. We’ve got the tools to help, though! Start by checking out our ultimate study guide for the ACT Science subject test. Once you read through that, be sure to download our recommended ACT Science practice tests , since they’re one of the most foolproof ways to improve your score. (And don’t forget to check out our expert guide book , too.)

If you love science and want to major in a scientific field, you should start preparing in high school . Here are the science classes you should take to set yourself up for success.

If you’re trying to think of science experiments you can do for class (or for a science fair!), here’s a list of 37 awesome science experiments you can do at home

Ashley Sufflé Robinson has a Ph.D. in 19th Century English Literature. As a content writer for PrepScholar, Ashley is passionate about giving college-bound students the in-depth information they need to get into the school of their dreams.

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How to Write a Great Hypothesis

Hypothesis Definition, Format, Examples, and Tips

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

Amy Morin, LCSW, is a psychotherapist and international bestselling author. Her books, including "13 Things Mentally Strong People Don't Do," have been translated into more than 40 languages. Her TEDx talk,  "The Secret of Becoming Mentally Strong," is one of the most viewed talks of all time.

Verywell / Alex Dos Diaz

• The Scientific Method

Hypothesis Format

Falsifiability of a hypothesis.

• Operationalization

Hypothesis Types

Hypotheses examples.

• Collecting Data

A hypothesis is a tentative statement about the relationship between two or more variables. It is a specific, testable prediction about what you expect to happen in a study. It is a preliminary answer to your question that helps guide the research process.

Consider a study designed to examine the relationship between sleep deprivation and test performance. The hypothesis might be: "This study is designed to assess the hypothesis that sleep-deprived people will perform worse on a test than individuals who are not sleep-deprived."

At a Glance

A hypothesis is crucial to scientific research because it offers a clear direction for what the researchers are looking to find. This allows them to design experiments to test their predictions and add to our scientific knowledge about the world. This article explores how a hypothesis is used in psychology research, how to write a good hypothesis, and the different types of hypotheses you might use.

The Hypothesis in the Scientific Method

In the scientific method , whether it involves research in psychology, biology, or some other area, a hypothesis represents what the researchers think will happen in an experiment. The scientific method involves the following steps:

• Forming a question
• Performing background research
• Creating a hypothesis
• Designing an experiment
• Collecting data
• Analyzing the results
• Drawing conclusions
• Communicating the results

The hypothesis is a prediction, but it involves more than a guess. Most of the time, the hypothesis begins with a question which is then explored through background research. At this point, researchers then begin to develop a testable hypothesis.

Unless you are creating an exploratory study, your hypothesis should always explain what you  expect  to happen.

In a study exploring the effects of a particular drug, the hypothesis might be that researchers expect the drug to have some type of effect on the symptoms of a specific illness. In psychology, the hypothesis might focus on how a certain aspect of the environment might influence a particular behavior.

Remember, a hypothesis does not have to be correct. While the hypothesis predicts what the researchers expect to see, the goal of the research is to determine whether this guess is right or wrong. When conducting an experiment, researchers might explore numerous factors to determine which ones might contribute to the ultimate outcome.

In many cases, researchers may find that the results of an experiment  do not  support the original hypothesis. When writing up these results, the researchers might suggest other options that should be explored in future studies.

In many cases, researchers might draw a hypothesis from a specific theory or build on previous research. For example, prior research has shown that stress can impact the immune system. So a researcher might hypothesize: "People with high-stress levels will be more likely to contract a common cold after being exposed to the virus than people who have low-stress levels."

In other instances, researchers might look at commonly held beliefs or folk wisdom. "Birds of a feather flock together" is one example of folk adage that a psychologist might try to investigate. The researcher might pose a specific hypothesis that "People tend to select romantic partners who are similar to them in interests and educational level."

Elements of a Good Hypothesis

So how do you write a good hypothesis? When trying to come up with a hypothesis for your research or experiments, ask yourself the following questions:

• Is your hypothesis based on your research on a topic?
• Can your hypothesis be tested?
• Does your hypothesis include independent and dependent variables?

Before you come up with a specific hypothesis, spend some time doing background research. Once you have completed a literature review, start thinking about potential questions you still have. Pay attention to the discussion section in the  journal articles you read . Many authors will suggest questions that still need to be explored.

How to Formulate a Good Hypothesis

To form a hypothesis, you should take these steps:

• Collect as many observations about a topic or problem as you can.
• Evaluate these observations and look for possible causes of the problem.
• Create a list of possible explanations that you might want to explore.
• After you have developed some possible hypotheses, think of ways that you could confirm or disprove each hypothesis through experimentation. This is known as falsifiability.

In the scientific method ,  falsifiability is an important part of any valid hypothesis. In order to test a claim scientifically, it must be possible that the claim could be proven false.

Students sometimes confuse the idea of falsifiability with the idea that it means that something is false, which is not the case. What falsifiability means is that  if  something was false, then it is possible to demonstrate that it is false.

One of the hallmarks of pseudoscience is that it makes claims that cannot be refuted or proven false.

The Importance of Operational Definitions

A variable is a factor or element that can be changed and manipulated in ways that are observable and measurable. However, the researcher must also define how the variable will be manipulated and measured in the study.

Operational definitions are specific definitions for all relevant factors in a study. This process helps make vague or ambiguous concepts detailed and measurable.

For example, a researcher might operationally define the variable " test anxiety " as the results of a self-report measure of anxiety experienced during an exam. A "study habits" variable might be defined by the amount of studying that actually occurs as measured by time.

These precise descriptions are important because many things can be measured in various ways. Clearly defining these variables and how they are measured helps ensure that other researchers can replicate your results.

Replicability

One of the basic principles of any type of scientific research is that the results must be replicable.

Replication means repeating an experiment in the same way to produce the same results. By clearly detailing the specifics of how the variables were measured and manipulated, other researchers can better understand the results and repeat the study if needed.

Some variables are more difficult than others to define. For example, how would you operationally define a variable such as aggression ? For obvious ethical reasons, researchers cannot create a situation in which a person behaves aggressively toward others.

To measure this variable, the researcher must devise a measurement that assesses aggressive behavior without harming others. The researcher might utilize a simulated task to measure aggressiveness in this situation.

Hypothesis Checklist

• Does your hypothesis focus on something that you can actually test?
• Does your hypothesis include both an independent and dependent variable?
• Can you manipulate the variables?
• Can your hypothesis be tested without violating ethical standards?

The hypothesis you use will depend on what you are investigating and hoping to find. Some of the main types of hypotheses that you might use include:

• Simple hypothesis : This type of hypothesis suggests there is a relationship between one independent variable and one dependent variable.
• Complex hypothesis : This type suggests a relationship between three or more variables, such as two independent and dependent variables.
• Null hypothesis : This hypothesis suggests no relationship exists between two or more variables.
• Alternative hypothesis : This hypothesis states the opposite of the null hypothesis.
• Statistical hypothesis : This hypothesis uses statistical analysis to evaluate a representative population sample and then generalizes the findings to the larger group.
• Logical hypothesis : This hypothesis assumes a relationship between variables without collecting data or evidence.

A hypothesis often follows a basic format of "If {this happens} then {this will happen}." One way to structure your hypothesis is to describe what will happen to the  dependent variable  if you change the  independent variable .

The basic format might be: "If {these changes are made to a certain independent variable}, then we will observe {a change in a specific dependent variable}."

A few examples of simple hypotheses:

• "Students who eat breakfast will perform better on a math exam than students who do not eat breakfast."
• "Students who experience test anxiety before an English exam will get lower scores than students who do not experience test anxiety."​
• "Motorists who talk on the phone while driving will be more likely to make errors on a driving course than those who do not talk on the phone."
• "Children who receive a new reading intervention will have higher reading scores than students who do not receive the intervention."

Examples of a complex hypothesis include:

• "People with high-sugar diets and sedentary activity levels are more likely to develop depression."
• "Younger people who are regularly exposed to green, outdoor areas have better subjective well-being than older adults who have limited exposure to green spaces."

Examples of a null hypothesis include:

• "There is no difference in anxiety levels between people who take St. John's wort supplements and those who do not."
• "There is no difference in scores on a memory recall task between children and adults."
• "There is no difference in aggression levels between children who play first-person shooter games and those who do not."

Examples of an alternative hypothesis:

• "People who take St. John's wort supplements will have less anxiety than those who do not."
• "Adults will perform better on a memory task than children."
• "Children who play first-person shooter games will show higher levels of aggression than children who do not." 

Collecting Data on Your Hypothesis

Once a researcher has formed a testable hypothesis, the next step is to select a research design and start collecting data. The research method depends largely on exactly what they are studying. There are two basic types of research methods: descriptive research and experimental research.

Descriptive Research Methods

Descriptive research such as  case studies ,  naturalistic observations , and surveys are often used when  conducting an experiment is difficult or impossible. These methods are best used to describe different aspects of a behavior or psychological phenomenon.

Once a researcher has collected data using descriptive methods, a  correlational study  can examine how the variables are related. This research method might be used to investigate a hypothesis that is difficult to test experimentally.

Experimental Research Methods

Experimental methods  are used to demonstrate causal relationships between variables. In an experiment, the researcher systematically manipulates a variable of interest (known as the independent variable) and measures the effect on another variable (known as the dependent variable).

Unlike correlational studies, which can only be used to determine if there is a relationship between two variables, experimental methods can be used to determine the actual nature of the relationship—whether changes in one variable actually  cause  another to change.

The hypothesis is a critical part of any scientific exploration. It represents what researchers expect to find in a study or experiment. In situations where the hypothesis is unsupported by the research, the research still has value. Such research helps us better understand how different aspects of the natural world relate to one another. It also helps us develop new hypotheses that can then be tested in the future.

Thompson WH, Skau S. On the scope of scientific hypotheses .  R Soc Open Sci . 2023;10(8):230607. doi:10.1098/rsos.230607

Taran S, Adhikari NKJ, Fan E. Falsifiability in medicine: what clinicians can learn from Karl Popper [published correction appears in Intensive Care Med. 2021 Jun 17;:].  Intensive Care Med . 2021;47(9):1054-1056. doi:10.1007/s00134-021-06432-z

Eyler AA. Research Methods for Public Health . 1st ed. Springer Publishing Company; 2020. doi:10.1891/9780826182067.0004

Nosek BA, Errington TM. What is replication ?  PLoS Biol . 2020;18(3):e3000691. doi:10.1371/journal.pbio.3000691

Aggarwal R, Ranganathan P. Study designs: Part 2 - Descriptive studies .  Perspect Clin Res . 2019;10(1):34-36. doi:10.4103/picr.PICR_154_18

Nevid J. Psychology: Concepts and Applications. Wadworth, 2013.

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

How to Write a Hypothesis

If I [do something], then [this] will happen.

This basic statement/formula should be pretty familiar to all of you as it is the starting point of almost every scientific project or paper. It is a hypothesis – a statement that showcases what you “think” will happen during an experiment. This assumption is made based on the knowledge, facts, and data you already have.

How do you write a hypothesis? If you have a clear understanding of the proper structure of a hypothesis, you should not find it too hard to create one. However, if you have never written a hypothesis before, you might find it a bit frustrating. In this article from EssayPro - custom essay writing services , we are going to tell you everything you need to know about hypotheses, their types, and practical tips for writing them.

Hypothesis Definition

According to the definition, a hypothesis is an assumption one makes based on existing knowledge. To elaborate, it is a statement that translates the initial research question into a logical prediction shaped on the basis of available facts and evidence. To solve a specific problem, one first needs to identify the research problem (research question), conduct initial research, and set out to answer the given question by performing experiments and observing their outcomes. However, before one can move to the experimental part of the research, they should first identify what they expect to see for results. At this stage, a scientist makes an educated guess and writes a hypothesis that he or she is going to prove or refute in the course of their study.

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A hypothesis can also be seen as a form of development of knowledge. It is a well-grounded assumption put forward to clarify the properties and causes of the phenomena being studied.

As a rule, a hypothesis is formed based on a number of observations and examples that confirm it. This way, it looks plausible as it is backed up with some known information. The hypothesis is subsequently proved by turning it into an established fact or refuted (for example, by pointing out a counterexample), which allows it to attribute it to the category of false statements.

As a student, you may be asked to create a hypothesis statement as a part of your academic papers. Hypothesis-based approaches are commonly used among scientific academic works, including but not limited to research papers, theses, and dissertations.

Note that in some disciplines, a hypothesis statement is called a thesis statement. However, its essence and purpose remain unchanged – this statement aims to make an assumption regarding the outcomes of the investigation that will either be proved or refuted.

Characteristics and Sources of a Hypothesis

Now, as you know what a hypothesis is in a nutshell, let’s look at the key characteristics that define it:

• It has to be clear and accurate in order to look reliable.
• It has to be specific.
• There should be scope for further investigation and experiments.
• A hypothesis should be explained in simple language—while retaining its significance.
• If you are making a relational hypothesis, two essential elements you have to include are variables and the relationship between them.

The main sources of a hypothesis are:

• Scientific theories.
• Observations from previous studies and current experiences.
• The resemblance among different phenomena.
• General patterns that affect people’s thinking process.

Types of Hypothesis

Basically, there are two major types of scientific hypothesis: alternative and null.

• Alternative Hypothesis

This type of hypothesis is generally denoted as H1. This statement is used to identify the expected outcome of your research. According to the alternative hypothesis definition, this type of hypothesis can be further divided into two subcategories:

• Directional — a statement that explains the direction of the expected outcomes. Sometimes this type of hypothesis is used to study the relationship between variables rather than comparing between the groups.
• Non-directional — unlike the directional alternative hypothesis, a non-directional one does not imply a specific direction of the expected outcomes.

Now, let’s see an alternative hypothesis example for each type:

Directional: Attending more lectures will result in improved test scores among students. Non-directional: Lecture attendance will influence test scores among students.

Notice how in the directional hypothesis we specified that the attendance of more lectures will boost student’s performance on tests, whereas in the non-directional hypothesis we only stated that there is a relationship between the two variables (i.e. lecture attendance and students’ test scores) but did not specify whether the performance will improve or decrease.

• Null Hypothesis

This type of hypothesis is generally denoted as H0. This statement is the complete opposite of what you expect or predict will happen throughout the course of your study—meaning it is the opposite of your alternative hypothesis. Simply put, a null hypothesis claims that there is no exact or actual correlation between the variables defined in the hypothesis.

To give you a better idea of how to write a null hypothesis, here is a clear example: Lecture attendance has no effect on student’s test scores.

Both of these types of hypotheses provide specific clarifications and restatements of the research problem. The main difference between these hypotheses and a research problem is that the latter is just a question that can’t be tested, whereas hypotheses can.

Based on the alternative and null hypothesis examples provided earlier, we can conclude that the importance and main purpose of these hypotheses are that they deliver a rough description of the subject matter. The main purpose of these statements is to give an investigator a specific guess that can be directly tested in a study. Simply put, a hypothesis outlines the framework, scope, and direction for the study. Although null and alternative hypotheses are the major types, there are also a few more to keep in mind:

Research Hypothesis — a statement that is used to test the correlation between two or more variables.

For example: Eating vitamin-rich foods affects human health.

Simple Hypothesis — a statement used to indicate the correlation between one independent and one dependent variable.

For example: Eating more vegetables leads to better immunity.

Complex Hypothesis — a statement used to indicate the correlation between two or more independent variables and two or more dependent variables.

For example: Eating more fruits and vegetables leads to better immunity, weight loss, and lower risk of diseases.

Associative and Causal Hypothesis — an associative hypothesis is a statement used to indicate the correlation between variables under the scenario when a change in one variable inevitably changes the other variable. A causal hypothesis is a statement that highlights the cause and effect relationship between variables.

Be sure to read how to write a DBQ - this article will expand your understanding.

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Hypothesis vs Prediction

When speaking of hypotheses, another term that comes to mind is prediction. These two terms are often used interchangeably, which can be rather confusing. Although both a hypothesis and prediction can generally be defined as “guesses” and can be easy to confuse, these terms are different. The main difference between a hypothesis and a prediction is that the first is predominantly used in science, while the latter is most often used outside of science.

Simply put, a hypothesis is an intelligent assumption. It is a guess made regarding the nature of the unknown (or less known) phenomena based on existing knowledge, studies, and/or series of experiments, and is otherwise grounded by valid facts. The main purpose of a hypothesis is to use available facts to create a logical relationship between variables in order to provide a more precise scientific explanation. Additionally, hypotheses are statements that can be tested with further experiments. It is an assumption you make regarding the flow and outcome(s) of your research study.

A prediction, on the contrary, is a guess that often lacks grounding. Although, in theory, a prediction can be scientific, in most cases it is rather fictional—i.e. a pure guess that is not based on current knowledge and/or facts. As a rule, predictions are linked to foretelling events that may or may not occur in the future. Often, a person who makes predictions has little or no actual knowledge of the subject matter he or she makes the assumption about.

Another big difference between these terms is in the methodology used to prove each of them. A prediction can only be proven once. You can determine whether it is right or wrong only upon the occurrence or non-occurrence of the predicted event. A hypothesis, on the other hand, offers scope for further testing and experiments. Additionally, a hypothesis can be proven in multiple stages. This basically means that a single hypothesis can be proven or refuted numerous times by different scientists who use different scientific tools and methods.

To give you a better idea of how a hypothesis is different from a prediction, let’s look at the following examples:

Hypothesis: If I eat more vegetables and fruits, then I will lose weight faster.

This is a hypothesis because it is based on generally available knowledge (i.e. fruits and vegetables include fewer calories compared to other foods) and past experiences (i.e. people who give preference to healthier foods like fruits and vegetables are losing weight easier). It is still a guess, but it is based on facts and can be tested with an experiment.

Prediction: The end of the world will occur in 2023.

This is a prediction because it foretells future events. However, this assumption is fictional as it doesn’t have any actual grounded evidence supported by facts.

Based on everything that was said earlier and our examples, we can highlight the following key takeaways:

• A hypothesis, unlike a prediction, is a more intelligent assumption based on facts.
• Hypotheses define existing variables and analyze the relationship(s) between them.
• Predictions are most often fictional and lack grounding.
• A prediction is most often used to foretell events in the future.
• A prediction can only be proven once – when the predicted event occurs or doesn’t occur. 
• A hypothesis can remain a hypothesis even if one scientist has already proven or disproven it. Other scientists in the future can obtain a different result using other methods and tools.

We also recommend that you read about some informative essay topics .

Now, as you know what a hypothesis is, what types of it exist, and how it differs from a prediction, you are probably wondering how to state a hypothesis. In this section, we will guide you through the main stages of writing a good hypothesis and provide handy tips and examples to help you overcome this challenge:

1. Define Your Research Question

Here is one thing to keep in mind – regardless of the paper or project you are working on, the process should always start with asking the right research question. A perfect research question should be specific, clear, focused (meaning not too broad), and manageable.

Example: How does eating fruits and vegetables affect human health?

2. Conduct Your Basic Initial Research

As you already know, a hypothesis is an educated guess of the expected results and outcomes of an investigation. Thus, it is vital to collect some information before you can make this assumption.

At this stage, you should find an answer to your research question based on what has already been discovered. Search for facts, past studies, theories, etc. Based on the collected information, you should be able to make a logical and intelligent guess.

3. Formulate a Hypothesis

Based on the initial research, you should have a certain idea of what you may find throughout the course of your research. Use this knowledge to shape a clear and concise hypothesis.

Based on the type of project you are working on, and the type of hypothesis you are planning to use, you can restate your hypothesis in several different ways:

Non-directional: Eating fruits and vegetables will affect one’s human physical health. Directional: Eating fruits and vegetables will positively affect one’s human physical health. Null: Eating fruits and vegetables will have no effect on one’s human physical health.

4. Refine Your Hypothesis

Finally, the last stage of creating a good hypothesis is refining what you’ve got. During this step, you need to define whether your hypothesis:

• Has clear and relevant variables;
• Identifies the relationship between its variables;
• Is specific and testable;
• Suggests a predicted result of the investigation or experiment.

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Hypothesis Examples

Following a step-by-step guide and tips from our essay writers for hire , you should be able to create good hypotheses with ease. To give you a starting point, we have also compiled a list of different research questions with one hypothesis and one null hypothesis example for each:

Ask Pros to Make a Perfect Hypothesis for You!

Sometimes, coping with a large academic load is just too much for a student to handle. Papers like research papers and dissertations can take too much time and effort to write, and, often, a hypothesis is a necessary starting point to get the task on track. Writing or editing a hypothesis is not as easy as it may seem. However, if you need help with forming it, the team at EssayPro is always ready to come to your rescue! If you’re feeling stuck, or don’t have enough time to cope with other tasks, don’t hesitate to send us you rewrite my essay for me or any other request.

is an expert in nursing and healthcare, with a strong background in history, law, and literature. Holding advanced degrees in nursing and public health, his analytical approach and comprehensive knowledge help students navigate complex topics. On EssayPro blog, Adam provides insightful articles on everything from historical analysis to the intricacies of healthcare policies. In his downtime, he enjoys historical documentaries and volunteering at local clinics.

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How to Write a Good Hypothesis in a Research Paper

What is a hypothesis in a research paper.

Every research has many parts, but its vital part is the proper hypothesis construction. A hypothesis represents a question, which includes an expected or predicted research result. When there’s no hypothesis, the base for an experiment or research is missing. With that said, it’s essential to carefully build the hypothesis. Such writing projects require patience, thoroughness, and persistence. Here, you’ll learn what is a hypothesis in research and how to write a hypothesis for a research paper and construct it clearly.

Characteristics of a Great Hypothesis

When you start learning how to write hypothesis, it’s crucial to understand what makes it good.

• It should be concise, precise, and clear
• It should be testable
• It should be focused on one problem only
• All great hypotheses aren’t contradictory
• It should be stated simply and clearly. That way, everyone can understand it with ease.

All this may sound too complex. At the start, everything seems complicated and confusing. But most beginnings are like that. Learning other things, including writing an  appendix for a research paper are tricky, but once you get into it, it becomes easier. Learning new things, especially of scientific nature, requires effort and patience.

Before you start working on hypotheses, there’re several questions every researcher should ask, including:

• Is the language used for the scientific reports clear?
• How can the thesis be tested? In what ways?
• Which explanations should be explored?
• Does the theory include different variables, dependent and independent?
• Is the idea in conflict with any nature laws?

Every question is equally important. These point to the complexity of the work. For many students, a scientific study is too complicated, more complex than learning how to write a  method section for a research paper or learning how to conclude a subject. But diving into it often turns into a fun journey.

Make sure to provide answers for all the above. If something is missing or doesn’t seem suitable, it means you’ll have to make appropriate changes.

General Types of the Research Hypothesis

There’re several general hypothesis types to explore, and those are:

• Simple — This type foresees the relation between a single independent variable and a dependent one.
• Complex — Focuses on foreseeing the connection between two or more independent variables and two or more dependent ones.
• Directional — It focuses on giving an explanation of the expected outcome direction.
• Non-directional — It doesn’t explain the expected direction of the result.
• Associative — It points out how the change in one of the variables affects the other.
• Causal — It shows how the manipulation of an independent variable affects the dependent one.
• Null — It points out there’s no relation between variables.
• Alternative — It shows the relationship between variables and identifies the expected research result.

Learning how to distinguish all these types takes time. With proper understanding, the entire study becomes easier. However, some students turn to professional help, and you can do the same — simply buy your research paper online because experienced researchers create them. These researchers possess the knowledge and skills to deliver exceptional work.

Keep in mind that one theory can fall into one of the types mentioned above or into several types. All the definitions previously listed are created to be simple and understandable for beginners.

Main Steps: How to Write the Hypothesis Section of a Research Paper

Here’re the footsteps on how to write a hypothesis in a research paper that you should follow:

• First, ask a  question , for example: “How does exercise affect sleep?”
• Start collecting data — take experiments, conduct interviews, and explore academic journals. Gather information from many sources and different sides.
• Create the answer to the previously asked question: “Exercise decreases insomnia, along with other sleep issues and complaints, and its effects are similar to results sleeping pills are providing.”
• Create the hypothesis — It should include variables, outcomes, and who or what is studied. “If a person regularly exercises, they will have better sleep quality and sleep complaints will reduce.”
• Clarify the hypothesis by exploring the difference or connection between the two groups.
• Null hypothesis creation — Finally, formulate a hypothesis — null (that points out there’s no evidence that supports differences) or alternative (showing proof there’re differences).

The process is complex and requires time, effort, and exploration. It’s tricky even for experienced people. That is why many students turn to  custom writing service where professionals provide all the work at affordable prices, following the format and other requirements of scientific research.

When you start working on your assignment, ensure to follow all the steps we’ve listed. That way, you’ll ensure nothing is missing.

How to Create a Strong Hypothesis for the Research Paper?

Creating a solid hypothesis requires several things, and those are:

• First, state the issue — the topic needs to be clearly defined.
• If possible, use the statement that has the If and Then components. In other words, if some specific action is taking place, then the particular result is anticipated.
• Variables need to be detected. In the example above, the variables are exercise and sleep.

Learning how to write a null hypothesis in a research paper isn’t easy. There’re many parts to understand, but carefully following a  guide to writing a research paper can be very helpful. Give yourself time and be patient until you figure it out.

As you may notice, there are a couple of crucial steps to follow. One of the key factors is to follow the guide and ensure that you are clear and concise.

Hypothesis Examples

Before you start working on study articles, here’re some hypothesis samples that’ll help you get a better understanding of how things work:

• Brushing the teeth every day prevents the formation of cavities.
• Eating broccoli and berries boosts the metabolism.
• Students that don’t skip breakfast perform better in school than those who do skip breakfast.
• When fertilizing the garden, the plants will grow more quicker.
• When taking adequate breaks, employees’ work performance increases.

When you don’t have enough time for a proper study and data collection, there’s an option to  pay for writing a research paper that many students use, even the top researchers. Everyone needs a break at times. Plus, these services are affordable and tailored to match the budget of a student.

We’ve created the examples above so every student that is new to this type of work can get familiar with the basics. At first glance, getting it all seems like a lot. But as you keep exploring the examples, things will get easier.

All researches require a lot of effort, especially when you are a beginner. Creating a hypothesis and developing an entire essay about a particular question isn’t always easy. You have a lot of analysis in front of you, some experiments, data collection, and more. Even though a tremendous amount of work is required, completing statistical analysis and the project altogether is pretty fun. Remember, if you are busy, professionals can do it for you.

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5.2 - writing hypotheses.

The first step in conducting a hypothesis test is to write the hypothesis statements that are going to be tested. For each test you will have a null hypothesis (\(H_0\)) and an alternative hypothesis (\(H_a\)).

When writing hypotheses there are three things that we need to know: (1) the parameter that we are testing (2) the direction of the test (non-directional, right-tailed or left-tailed), and (3) the value of the hypothesized parameter.

• At this point we can write hypotheses for a single mean (\(\mu\)), paired means(\(\mu_d\)), a single proportion (\(p\)), the difference between two independent means (\(\mu_1-\mu_2\)), the difference between two proportions (\(p_1-p_2\)), a simple linear regression slope (\(\beta\)), and a correlation (\(\rho\)). 
• The research question will give us the information necessary to determine if the test is two-tailed (e.g., "different from," "not equal to"), right-tailed (e.g., "greater than," "more than"), or left-tailed (e.g., "less than," "fewer than").
• The research question will also give us the hypothesized parameter value. This is the number that goes in the hypothesis statements (i.e., \(\mu_0\) and \(p_0\)). For the difference between two groups, regression, and correlation, this value is typically 0.

Hypotheses are always written in terms of population parameters (e.g., \(p\) and \(\mu\)).  The tables below display all of the possible hypotheses for the parameters that we have learned thus far. Note that the null hypothesis always includes the equality (i.e., =).

Learn How To Write A Hypothesis For Your Next Research Project!

Undoubtedly, research plays a crucial role in substantiating or refuting our assumptions. These assumptions act as potential answers to our questions. Such assumptions, also known as hypotheses, are considered key aspects of research. In this blog, we delve into the significance of hypotheses. And provide insights on how to write them effectively. So, let’s dive in and explore the art of writing hypotheses together.

Table of Contents

What is a Hypothesis?

A hypothesis is a crucial starting point in scientific research. It is an educated guess about the relationship between two or more variables. In other words, a hypothesis acts as a foundation for a researcher to build their study.

Here are some examples of well-crafted hypotheses:

• Increased exposure to natural sunlight improves sleep quality in adults.

A positive relationship between natural sunlight exposure and sleep quality in adult individuals.

• Playing puzzle games on a regular basis enhances problem-solving abilities in children.

Engaging in frequent puzzle gameplay leads to improved problem-solving skills in children.

• Students and improved learning hecks.

S tudents using online  paper writing service  platforms (as a learning tool for receiving personalized feedback and guidance) will demonstrate improved writing skills. (compared to those who do not utilize such platforms).

• The use of APA format in research papers. 

Using the  APA format  helps students stay organized when writing research papers. Organized students can focus better on their topics and, as a result, produce better quality work.

The Building Blocks of a Hypothesis

To better understand the concept of a hypothesis, let’s break it down into its basic components:

• Variables . A hypothesis involves at least two variables. An independent variable and a dependent variable. The independent variable is the one being changed or manipulated, while the dependent variable is the one being measured or observed.
• Relationship : A hypothesis proposes a relationship or connection between the variables. This could be a cause-and-effect relationship or a correlation between them.
• Testability : A hypothesis should be testable and falsifiable, meaning it can be proven right or wrong through experimentation or observation.

Types of Hypotheses

When learning how to write a hypothesis, it’s essential to understand its main types. These include; alternative hypotheses and null hypotheses. In the following section, we explore both types of hypotheses with examples. 

Alternative Hypothesis (H1)

This kind of hypothesis suggests a relationship or effect between the variables. It is the main focus of the study. The researcher wants to either prove or disprove it. Many research divides this hypothesis into two subsections: 

• Directional 

This type of H1 predicts a specific outcome. Many researchers use this hypothesis to explore the relationship between variables rather than the groups. 

• Non-directional

You can take a guess from the name. This type of H1 does not provide a specific prediction for the research outcome. 

Here are some examples for your better understanding of how to write a hypothesis.

• Consuming caffeine improves cognitive performance.  (This hypothesis predicts that there is a positive relationship between caffeine consumption and cognitive performance.)
• Aerobic exercise leads to reduced blood pressure.  (This hypothesis suggests that engaging in aerobic exercise results in lower blood pressure readings.)
• Exposure to nature reduces stress levels among employees.  (Here, the hypothesis proposes that employees exposed to natural environments will experience decreased stress levels.)
• Listening to classical music while studying increases memory retention.  (This hypothesis speculates that studying with classical music playing in the background boosts students’ ability to retain information.)
• Early literacy intervention improves reading skills in children.  (This hypothesis claims that providing early literacy assistance to children results in enhanced reading abilities.)
• Time management in nursing students. ( Students who use a  nursing research paper writing service  have more time to focus on their studies and can achieve better grades in other subjects. )

Null Hypothesis (H0)

A null hypothesis assumes no relationship or effect between the variables. If the alternative hypothesis is proven to be false, the null hypothesis is considered to be true. Usually a null hypothesis shows no direct correlation between the defined variables. 

Here are some of the examples

• The consumption of herbal tea has no effect on sleep quality.  (This hypothesis assumes that herbal tea consumption does not impact the quality of sleep.)
• The number of hours spent playing video games is unrelated to academic performance.  (Here, the null hypothesis suggests that no relationship exists between video gameplay duration and academic achievement.)
• Implementing flexible work schedules has no influence on employee job satisfaction.  (This hypothesis contends that providing flexible schedules does not affect how satisfied employees are with their jobs.)
• Writing ability of a 7th grader is not affected by reading editorial example. ( There is no relationship between reading an  editorial example  and improving a 7th grader’s writing abilities.) 
• The type of lighting in a room does not affect people’s mood.  (In this null hypothesis, there is no connection between the kind of lighting in a room and the mood of those present.)
• The use of social media during break time does not impact productivity at work.  (This hypothesis proposes that social media usage during breaks has no effect on work productivity.)

As you learn how to write a hypothesis, remember that aiming for clarity, testability, and relevance to your research question is vital. By mastering this skill, you’re well on your way to conducting impactful scientific research. Good luck!

Importance of a Hypothesis in Research

A well-structured hypothesis is a vital part of any research project for several reasons:

• It provides clear direction for the study by setting its focus and purpose.
• It outlines expectations of the research, making it easier to measure results.
• It helps identify any potential limitations in the study, allowing researchers to refine their approach.

In conclusion, a hypothesis plays a fundamental role in the research process. By understanding its concept and constructing a well-thought-out hypothesis, researchers lay the groundwork for a successful, scientifically sound investigation.

How to Write a Hypothesis?

Here are five steps that you can follow to write an effective hypothesis. 

Step 1: Identify Your Research Question

The first step in learning how to compose a hypothesis is to clearly define your research question. This question is the central focus of your study and will help you determine the direction of your hypothesis.

Step 2: Determine the Variables

When exploring how to write a hypothesis, it’s crucial to identify the variables involved in your study. You’ll need at least two variables:

• Independent variable : The factor you manipulate or change in your experiment.
• Dependent variable : The outcome or result you observe or measure, which is influenced by the independent variable.

Step 3: Build the Hypothetical Relationship

In understanding how to compose a hypothesis, constructing the relationship between the variables is key. Based on your research question and variables, predict the expected outcome or connection. This prediction should be specific, testable, and, if possible, expressed in the “If…then” format.

Step 4: Write the Null Hypothesis

When mastering how to write a hypothesis, it’s important to create a null hypothesis as well. The null hypothesis assumes no relationship or effect between the variables, acting as a counterpoint to your primary hypothesis.

Step 5: Review Your Hypothesis

Finally, when learning how to compose a hypothesis, it’s essential to review your hypothesis for clarity, testability, and relevance to your research question. Make any necessary adjustments to ensure it provides a solid basis for your study.

In conclusion, understanding how to write a hypothesis is crucial for conducting successful scientific research. By focusing on your research question and carefully building relationships between variables, you will lay a strong foundation for advancing research and knowledge in your field.

Hypothesis vs. Prediction: What’s the Difference?

Understanding the differences between a hypothesis and a prediction is crucial in scientific research. Often, these terms are used interchangeably, but they have distinct meanings and functions. This segment aims to clarify these differences and explain how to compose a hypothesis correctly, helping you improve the quality of your research projects.

Hypothesis: The Foundation of Your Research

A hypothesis is an educated guess about the relationship between two or more variables. It provides the basis for your research question and is a starting point for an experiment or observational study.

The critical elements for a hypothesis include:

• Specificity: A clear and concise statement that describes the relationship between variables.
• Testability: The ability to test the hypothesis through experimentation or observation.

To learn how to write a hypothesis, it’s essential to identify your research question first and then predict the relationship between the variables.

Prediction: The Expected Outcome

A prediction is a statement about a specific outcome you expect to see in your experiment or observational study. It’s derived from the hypothesis and provides a measurable way to test the relationship between variables.

Here’s an example of how to write a hypothesis and a related prediction:

• Hypothesis: Consuming a high-sugar diet leads to weight gain.
• Prediction: People who consume a high-sugar diet for six weeks will gain more weight than those who maintain a low-sugar diet during the same period.

Key Differences Between a Hypothesis and a Prediction

While a hypothesis and prediction are both essential components of scientific research, there are some key differences to keep in mind:

• A hypothesis is an educated guess that suggests a relationship between variables, while a prediction is a specific and measurable outcome based on that hypothesis.
• A hypothesis can give rise to multiple experiment or observational study predictions.

To conclude, understanding the differences between a hypothesis and a prediction, and learning how to write a hypothesis, are essential steps to form a robust foundation for your research. By creating clear, testable hypotheses along with specific, measurable predictions, you lay the groundwork for scientifically sound investigations.

Here’s a wrap-up for this guide on how to write a hypothesis. We’re confident this article was helpful for many of you. We understand that many students struggle with writing their school research . However, we hope to continue assisting you through our blog tutorial on writing different aspects of academic assignments.

For further information, you can check out our reverent blog or contact our professionals to avail amazing writing services. Paper perk experts tailor assignments to reflect your unique voice and perspectives. Our professionals make sure to stick around till your satisfaction. So what are you waiting for? Pick your required service and order away!

How to write a good hypothesis?

How to write a hypothesis in science, how to write a research hypothesis, how to write a null hypothesis, what is the format for a scientific hypothesis, how do you structure a proper hypothesis, can you provide an example of a hypothesis, what is the ideal hypothesis structure.

The ideal hypothesis structure includes the following;

• A clear statement of the relationship between variables.
• testable prediction.
• falsifiability.

If your hypothesis has all of these, it is both scientifically sound and effective.

How to write a hypothesis for product management?

Writing a hypothesis for product management involves a simple process:

• First, identify the problem or question you want to address.
• State your assumption or belief about the solution to that problem. .
• Make a hypothesis by predicting a specific outcome based on your assumption.
• Make sure your hypothesis is specific, measurable, and testable.
• Use experiments, data analysis, or user feedback to validate your hypothesis.
• Make informed decisions for product improvement.

Following these steps will help you in effectively formulating hypotheses for product management.

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Hypothesis Maker Online

Looking for a hypothesis maker? This online tool for students will help you formulate a beautiful hypothesis quickly, efficiently, and for free.

Are you looking for an effective hypothesis maker online? Worry no more; try our online tool for students and formulate your hypothesis within no time.

• 🔎 How to Use the Tool?
• ⚗️ What Is a Hypothesis in Science?

👍 What Does a Good Hypothesis Mean?

• 🧭 Steps to Making a Good Hypothesis

🔗 References

📄 hypothesis maker: how to use it.

Our hypothesis maker is a simple and efficient tool you can access online for free.

If you want to create a research hypothesis quickly, you should fill out the research details in the given fields on the hypothesis generator.

Below are the fields you should complete to generate your hypothesis:

• Who or what is your research based on? For instance, the subject can be research group 1.
• What does the subject (research group 1) do?
• What does the subject affect? - This shows the predicted outcome, which is the object.
• Who or what will be compared with research group 1? (research group 2).

Once you fill the in the fields, you can click the ‘Make a hypothesis’ tab and get your results.

⚗️ What Is a Hypothesis in the Scientific Method?

A hypothesis is a statement describing an expectation or prediction of your research through observation.

It is similar to academic speculation and reasoning that discloses the outcome of your scientific test . An effective hypothesis, therefore, should be crafted carefully and with precision.

A good hypothesis should have dependent and independent variables . These variables are the elements you will test in your research method – it can be a concept, an event, or an object as long as it is observable.

You can observe the dependent variables while the independent variables keep changing during the experiment.

In a nutshell, a hypothesis directs and organizes the research methods you will use, forming a large section of research paper writing.

Hypothesis vs. Theory

A hypothesis is a realistic expectation that researchers make before any investigation. It is formulated and tested to prove whether the statement is true. A theory, on the other hand, is a factual principle supported by evidence. Thus, a theory is more fact-backed compared to a hypothesis.

Another difference is that a hypothesis is presented as a single statement , while a theory can be an assortment of things . Hypotheses are based on future possibilities toward a specific projection, but the results are uncertain. Theories are verified with undisputable results because of proper substantiation.

When it comes to data, a hypothesis relies on limited information , while a theory is established on an extensive data set tested on various conditions.

You should observe the stated assumption to prove its accuracy.

Since hypotheses have observable variables, their outcome is usually based on a specific occurrence. Conversely, theories are grounded on a general principle involving multiple experiments and research tests.

This general principle can apply to many specific cases.

The primary purpose of formulating a hypothesis is to present a tentative prediction for researchers to explore further through tests and observations. Theories, in their turn, aim to explain plausible occurrences in the form of a scientific study.

It would help to rely on several criteria to establish a good hypothesis. Below are the parameters you should use to analyze the quality of your hypothesis.

🧭 6 Steps to Making a Good Hypothesis

Writing a hypothesis becomes way simpler if you follow a tried-and-tested algorithm. Let’s explore how you can formulate a good hypothesis in a few steps:

Step #1: Ask Questions

The first step in hypothesis creation is asking real questions about the surrounding reality.

Why do things happen as they do? What are the causes of some occurrences?

Your curiosity will trigger great questions that you can use to formulate a stellar hypothesis. So, ensure you pick a research topic of interest to scrutinize the world’s phenomena, processes, and events.

Step #2: Do Initial Research

Carry out preliminary research and gather essential background information about your topic of choice.

The extent of the information you collect will depend on what you want to prove.

Your initial research can be complete with a few academic books or a simple Internet search for quick answers with relevant statistics.

Still, keep in mind that in this phase, it is too early to prove or disapprove of your hypothesis.

Step #3: Identify Your Variables

Now that you have a basic understanding of the topic, choose the dependent and independent variables.

Take note that independent variables are the ones you can’t control, so understand the limitations of your test before settling on a final hypothesis.

Step #4: Formulate Your Hypothesis

You can write your hypothesis as an ‘if – then’ expression . Presenting any hypothesis in this format is reliable since it describes the cause-and-effect you want to test.

For instance: If I study every day, then I will get good grades.

Step #5: Gather Relevant Data

Once you have identified your variables and formulated the hypothesis, you can start the experiment. Remember, the conclusion you make will be a proof or rebuttal of your initial assumption.

So, gather relevant information, whether for a simple or statistical hypothesis, because you need to back your statement.

Step #6: Record Your Findings

Finally, write down your conclusions in a research paper .

Outline in detail whether the test has proved or disproved your hypothesis.

Edit and proofread your work, using a plagiarism checker to ensure the authenticity of your text.

We hope that the above tips will be useful for you. Note that if you need to conduct business analysis, you can use the free templates we’ve prepared: SWOT , PESTLE , VRIO , SOAR , and Porter’s 5 Forces .

❓ Hypothesis Formulator FAQ

Updated: Oct 25th, 2023

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Use our hypothesis maker whenever you need to formulate a hypothesis for your study. We offer a very simple tool where you just need to provide basic info about your variables, subjects, and predicted outcomes. The rest is on us. Get a perfect hypothesis in no time!

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Powerful Academic Phrases to Improve Your Essay Writing 

Adopting a formal style of writing is crucial for any type of academic writing, be it scholarly articles, research papers or essays. It requires a deep understanding of the subject matter, the ability to analyze and synthesize complex information, and the skill to communicate ideas effectively. One of the primary challenges of academic writing is the need to balance clarity with accuracy.  

There are various factors that should be borne in mind in academic writing. The writing should be clear and precise. It should be well structured with a clear focus while demonstrating the rigor with which the research was conducted. Long winding sentences and emotional language must be completely avoided. While discipline specific language should be used, jargon must be avoided. In other words, academic writing is not easy. However, by using the right words and academic phrases, you can deliver clear, concise writing that can elevate your scholarly papers or essays.  

In this article we will look at a few strong academic phrases that can go a long way in improving your academic essay writing.

Table of Contents

Comparing and contrasting, providing examples, elaborating on information, indicating uncertainty, summarising, academic phrases for various situations.

In writing an academic essay, arguments and ideas need to be built and articulated in a compelling manner. These should be supported with appropriate evidence. Furthermore, verifiable facts and examples must be presented in an engaging way and the entire essay should be well structured.  

In all these, the usage of right academic phrases becomes helpful. Depending on what you want to convey, different academic phrases can be used in various situations as discussed below. 

Very often in essays you may have to engage in the process of comparing and contrasting information, key aspects of two phenomena taken for study, or various sources for your literature review and so on. You will have to bring in to your discussion not just the similarities to your arguments, but also opposing or conflicting perspectives.  

Use of appropriate phrases will help organically bring in such similar or contrasting information. For example, some of the phrases that can be used to discuss similarities and differences include: In comparison or by contrast, however, conversely, alternatively, whereas, on the other hand, likewise, in the same way and so on. Example: “The author expresses his opinion based on anecdotal references. By contrast the survey he quotes and tries to argue against is more plausible with the rigorous data it has collected.”  

While writing an academic essay, you are required to support and expand your ideas and arguments through the use of examples. Phrases that can be used to provide examples include: for example, for instance, to illustrate, to exemplify, to demonstrate. 

Example: “Climate and weather patterns are changing rapidly and its ramifications are staring us in the face. For example, look at what is happening with the incessant rains pouring down during certain summer months.”  

As you structure your narrative, you will have to elaborate at various points on the information, ideas, and arguments that you are presenting. This has to be done in a manner that does not adversely affect the smooth flow of the narrative. It is here that the usage of appropriate phrases is crucial to uplift the quality of your essay. Using phrases such as moreover, furthermore, in other words, in addition and so on can aid in providing additional information. 

Example: “Rising temperatures are greatly impacting the health of children belonging to vulnerable groups in parts of the Asian sub-continent. Moreover, the lack of adequate government support and dismal welfare measures is making lives harder for such families.” 

While writing research papers or essays, researchers often acknowledge the limitations of their studies and the possibilities for conflicting or opposing views. Such recognition is pertinent for the advancement of scientific knowledge. There are various phrases that can be used to indicate uncertainty such as: it could be argued that the data suggest that evidence suggest that, or it is possible due to. 

Example: “The evidence suggests that the new teaching methods are beneficial and can be considered as an alternative to existing methods”. 

The concluding part of your essay should be a summary of your main ideas and arguments and its significance. To this end, the following phrases can be utilized: to summarise, to conclude, above all, or most significantly.  

Example: “To conclude, evidence points to the positive impact of periodic creative workshops on children’s cognitive development.”   

While academic writing may be challenging, mastering the use of appropriate academic phrases, avoiding jargon, and delivering clear, concise writing can elevate one’s writing to a higher and contribute to the advancement of knowledge in their respective fields. 

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• Published: 27 May 2024

Evidence of ongoing volcanic activity on Venus revealed by Magellan radar

• Davide Sulcanese   ORCID: orcid.org/0000-0002-5472-3197 1 , 2 ,
• Giuseppe Mitri   ORCID: orcid.org/0000-0001-8390-458X 1 , 2 &
• Marco Mastrogiuseppe   ORCID: orcid.org/0000-0001-9902-8115 3 , 4  

Nature Astronomy ( 2024 ) Cite this article

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• Geomorphology
• Volcanology

The surface of Venus has undergone substantial alterations due to volcanic activity throughout its geological history, and some volcanic features suggest that this activity persisted until as recently as 2.5 million years ago. Recent evidence of changes in the surface morphology of a volcanic vent has been interpreted as a potential indication of ongoing volcanic activity. To investigate more widespread alterations that have occurred over time in the planet’s surface morphology, we compared radar images of the same regions observed from 1990 to 1992 with the Magellan spacecraft. We found variations in the radar backscatter from different volcanic-related flow features on the western flank of Sif Mons and in western Niobe Planitia. We suggest that these changes are most reasonably explained as evidence of new lava flows related to volcanic activities that took place during the Magellan spacecraft’s mapping mission with its synthetic-aperture radar. This study provides further evidence in support of a currently geologically active Venus.

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Data availability.

The Venus Magellan SAR F-BIDRs used in this work are available from the PDS geosciences node ( https://pds-geosciences.wustl.edu/missions/magellan/fbidr/index.htm ). Magellan altimetry data were extrapolated using the Altimeter and Radiometry Composite Data Record, which is also available from the PDS geosciences node ( https://pds-geosciences.wustl.edu/missions/Magellan/arcdr/index.htm ). Magellan Stereo-Derived Topography used in this work is also available from the PDS geosciences node ( https://pds-geosciences.wustl.edu/missions/magellan/stereo_topography.htm ). The source data images used for this paper can be found at https://doi.org/10.5281/zenodo.10875314 (ref. 47 ).

Code availability

The data have been processed using Matlab. Codes are available from the corresponding author upon reasonable request.

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Acknowledgements

We want to thank our collaborator G. Alberti for helping in processing Magellan radar products. G.M., D.S. and M.M. acknowledge support from the Italian Space Agency (Grant No. 2022-15-HH.0).

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International Research School of Planetary Sciences, Università d’Annunzio, Pescara, Italy

Davide Sulcanese & Giuseppe Mitri

Dipartimento di Ingegneria e Geologia, Università d’Annunzio, Pescara, Italy

Dipartimento di Ingegneria dell’Informazione, Elettronica e Telecomunicazioni, Università La Sapienza, Rome, Italy

Marco Mastrogiuseppe

Link Campus University, Rome, Italy

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Contributions

D.S. led the writing of the paper, conducted all the analyses and interpreted the geological and geomorphological results presented in this article. G.M. was responsible for the conceptualization of the project and the manuscript, provided support in manuscript writing and assisted in the geological interpretation of the data. M.M. provided support in the analysis of the data, particularly in the radar and altimeter data analysis, and the interpretation of the results pertaining to the radar part. He also contributed to manuscript writing, specifically in the sections related to the electromagnetic models and alternative hypotheses regarding the radar section.

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Correspondence to Davide Sulcanese .

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Sulcanese, D., Mitri, G. & Mastrogiuseppe, M. Evidence of ongoing volcanic activity on Venus revealed by Magellan radar. Nat Astron (2024). https://doi.org/10.1038/s41550-024-02272-1

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What are Tone Words? List of 300+ Useful Words

Table of contents

• 1 What is a Tone?
• 2.1 Positive Tone Words
• 2.2 Negative Tone Words
• 2.3 Neutral Tone Words
• 3 How to Find the Right Tone for Your Work
• 4 Tone Words Examples in Various Texts

In writing, tone plays a significant role in conveying emotions, setting the atmosphere, and establishing a connection with readers. The tone of every piece of writing – whether an argumentative essay, a page-turning novel, or a moving poem – can be set by the author’s choice of words.

It would be best to balance the subtleties of language and freedom of thought to get the desired effect. Today, we share a definitive collection of tone words to help you and every writer achieve their goals in this area.

What is a Tone?

Tone, in writing, is the author’s emotional response with deep respect to either the subject matter or the readers. It helps to create a particular atmosphere and direct the reader’s feelings by revealing the author’s point of view.

The tone is the author’s voice (in this case, their attitude, not their personality), and how the words on the page are emotion-tinted to make the reader feel a specific way.

Word choice, tone list sentence structure, imagery, and figurative language are all examples of literary methods that can be used to communicate tone. It comprises more than just the words themselves.

Also, it includes the author’s general tone and approach. To provoke various feelings and responses from the reader, a talented writer might switch tones within the same piece of writing.

Recognizing and employing tone is fundamental to effective communication because it influences the writer’s attitude and how the recipient interprets the message. It can potentially affect a message’s readability, retention, and recall. When writers use the right tone, they may impress readers, hold their attention, and get their point over.

As they delve further into the nuances of tone and tone words in literature, authors gain access to many expressive vocabularies.

The Ultimate List of Tone Words

Now for our ultimate list of tone words in literature. This comprehensive compilation encompasses a range of words that can help authors like you effectively communicate their intended emotions and engage readers on a profound level. And we are talking about a deep level indeed!

Positive Tone Words

Positive tone words inspire happy thoughts and feelings in the reader. They spark positive emotions and are incredibly powerful. Powerful? How so? Positive tone words can make you think well of someone and have a favorable impression of them even without meeting. Here are some other good tone words, word examples, and their meanings:

• Joyful: Filled with happiness, delight, and great pleasure.
• Optimistic: Expecting positive outcomes, hopeful, and confident about the future.
• Enthusiastic: Displaying intense excitement, passion, and eagerness.
• Serene: Calm, peaceful, and tranquil.
• Endearing: Inspiring warmth or affection
• Grateful: Feeling or expressing appreciation and thankfulness.
• Empowered: Feeling confident, capable, and in control of one’s life or circumstances.
• Radiant: Emitting brightness, happiness, and positivity.
• Inspirational: Providing motivation, encouragement, and a sense of upliftment.
• Energetic: Full of vigor, liveliness, and vitality.
• Confident: Having self-assurance, belief in one’s abilities, and a positive outlook.
• Empathetic: showing empathy; feeling the emotions of others.

Negative Tone Words

The use of negative tone words can considerably influence the perceptions produced by readers, regardless of whether they describe a location, a literary work, or a collective of individuals. Simply put, just as positive tone words spark positive emotions, negative ones spark negative ones.

Hence, when applying negative tone phrases, you must exercise caution and ensure your criticisms remain fair, constructive, and objective, and that is very important.

By attentively picking your words, you can provide a well-rounded perspective while keeping your message’s moral sense and integrity. Striking the correct balance between negative and positive judgments provides for a full understanding and encourages effective interactions.

• Miserable: Extremely unhappy, sorrowful, or distressed.
• Disgusting: Causing intense revulsion, repugnance, or strong aversion.
• Aggressive: Hostile, confrontational, or prone to initiating conflict.
• Chaotic: Marked by disorder, confusion, and lack of organization or control.
• Repulsive: Evoking strong feelings of dislike, aversion, or disgust.
• Arrogant: Displaying an exaggerated sense of superiority, self-importance, or entitlement.
• Hateful: Full of intense dislike, animosity, or prejudice towards someone or something.
• Depressing: Causing feelings of sadness, dejection, or hopelessness.
• Inferior: Of lower quality, value, or importance compared to others.

Neutral Tone Words

Neutral tone words help maintain a fair and unbiased approach, allowing readers to form their opinions without undue influence. Here are examples of neutral tone words along with their meanings:

• Ordinary: Usual, commonplace, or unremarkable.
• Standard: Conforming to established norms, expectations, or criteria.
• Common: Frequently occurring, widely experienced, or generally known.
• Typical: Representing a characteristic example or pattern.
• Balanced: Exhibiting equality, equilibrium, or impartiality.
• Objective: Unbiased, based on facts, and devoid of personal opinions or feelings.
• Rationale: Logical, reasoned, and based on sound judgment or reasoning.
• Neutral: Impartial, unbiased, or not taking sides.
• Moderate: Neither excessive nor extreme, characterized by a reasonable and measured approach.
• Unbiased: Fair, impartial, and free from prejudice or favoritism.
• Indifferent: Having no particular preference or bias, lacking interest or concern.
• Matter-of-fact: Devoid of emotional embellishment, straightforward, and focused on facts.

How to Find the Right Tone for Your Work

So far, we have established that finding the right, powerful tone words is the key to successfully delivering your message through writing. To figure out which examples of tone words used work best for your goal, ask these reflective questions:

• Why am I writing this?

It helps to know why you’re writing in the first place to set the right words of tone in your writing. What effect do you hope to have on the reader? Each goal requires specific words and unique words for the tone of the literature to be adequate.

• Who exactly am I writing for?

When deciding on a tone for your writing, it is essential to keep your readers in mind. Is it an official report, a casual blog post, or a rigorous research paper? The interest and understanding of your readers will increase if you modify your author’s tone to match their expectations and preferences.

• What do I hope the reader will take away from this experience?

The tone of your communication can be improved by first determining the key idea or message you wish to express. Whatever you’re trying to do through your writing – persuade, inform, or evoke an emotion – matching your tone to your intended result is crucial!

The tone of any formal writing must be clear, concise, confident, and courteous. Attempt refinement without straying into pretentiousness; balance formality and readability.

However, creative writing allows for greater latitude in tone. Still, focus on effectively using tone words, regardless of the genre. The tone you go for will be influenced by the genre you’re writing in, but ultimately, you want to get your point across, make the reader feel something, and pull them into the story.

Suppose writers take the time to evaluate these factors carefully. In that case, they can master using an appropriate tone to describe words that will connect with their target audience, improve readability, and have the desired effect. We hope you become one such writer.

Tone Words Examples in Various Texts

Again, tone words play a vital role in shaping the atmosphere and evoking emotions in different types of writing. The choice of tone words varies based on the formality of the writing and is further influenced by the genre, whether creative or formal.

Let’s explore some examples of tone words in various types of writing:

• Melancholic: Conveys a tone of sadness, longing, or introspection, often found in poems exploring themes of loss or nostalgia.
• Whimsical: Creates a playful and lighthearted tone, commonly used in poems that embrace imagination and fantasy.
• Serene: Establishes a calm and peaceful tone, often seen in verses that celebrate nature or meditate on inner peace.
• Euphoric: Creates a tone of extreme joy, vitality, or ecstasy, frequently found in poems expressing moments of joy or bliss.

Romantic Novel

• Passionate: Sets an intense and vibrant tone, typically associated with love, desire, and emotional depth.
• Sentimental: Evokes tender and nostalgic emotions, often found in romantic novels emphasizing deep emotional connections.
• Yearning: Conveys a tone of longing or desire, frequently employed in books that explore unrequited love or longing for a lost connection.
• Tender: Establishes a gentle and affectionate tone, often used to depict tender moments of intimacy or vulnerability.

Horror Fiction

• Eerie: Creates a tone of unease, suspense, and impending dread, frequently found in horror fiction to heighten tension.
• Sinister: Evokes a dark, malicious, or hateful tone, often depicting evil or foreboding circumstances.
• Terrifying: Establishes a tone of extreme fear, horror, or terror intended to invoke a visceral response from the reader.
• Macabre: Conveys a tone of fascination with the gruesome death or the supernatural, often seen in horror fiction that explores the darker aspects of human existence.

Informative News Article

• Objective: Establish a neutral and unbiased tone, presenting facts and information without personal opinions or emotions.
• Authoritative: Conveys a tone of expertise, credibility, and confidence, frequently employed in news articles to establish trustworthiness.
• Informative: Sets a tone of clarity, providing straightforward and concise information to educate the readers.
• Balanced: Establishes a fair and even-handed tone, presenting multiple perspectives and avoiding bias or favoritism.

What Is the Difference Between Tone and Voice?

Tone and voice are sometimes misunderstood or used interchangeably by writers. However, they couldn’t be more dissimilar. We’ve established that tone conveys the author’s or a character’s feelings about the subject.

Tone words in nonfiction writing reveal the author’s point of view. Tone words are helpful in fiction because they indicate a scene’s or conversation’s emotional state, whether the reader might expect tension, happiness, sadness, etc.

While the term “voice” describes the overall character of a piece of writing. One author’s scathing tone may be another’s instructive or friendliness.

What Is the Difference Between Tone and Mood?

The word for tone in literature is the mood or atmosphere that the author intends for the reader to experience while reading the text, while mood is the experience that the reader has while reading the story.

How the author feels about the setting or the character and how he wants the reader to feel determines the tone. On the contrary, the reader’s emotional response establishes the mood. Setting the mood at the opening of a story prepares the audience for what is to come.

How do you identify tone words?

Identifying tone words in a piece of writing is essential for understanding the intended emotions and attitudes conveyed by the author. Here are some key approaches to identifying tone words:

• Contextual Clues: Pay attention to the overall context and the writer’s purpose. Examine the subject matter, the writer’s attitude, and the intended audience. These factors can provide valuable hints about the tone.
• Word Choice: Look for words that evoke emotions or convey a particular attitude. Tone words often carry emotional weight or reveal the author’s perspective. Words with strong connotations, such as “brutal,” “uplifting,” or “serene,” can indicate the tone.
• Go with your Gut: Sometimes, the best way to explain a tone is to say that you just “get it.” The text makes you feel a specific way, whether it’s urgent or melancholy. After reading it, you feel angry and get the impression that the author is also angry. Or sometimes, there is nothing specifically humorous about the writing, yet you find yourself laughing anyhow. As a result, go with your instinct when deciding how to interpret the author’s tone in passages like these.

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The 5 best digital notepads in 2024 will free you from paper clutter forever

By Jason R. Rich

Edited By Leslie Gornstein

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Our top picks of the best digital notepads for 2024

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As a digital notepad, you can create custom-named notebooks, and each can contain any number of individual pages filled with your handwritten notes. As you're writing, you can opt to leave the content as is, or convert it automatically into editable, typed text. This makes it great for note-taking, managing to-do lists or organizing important information.

Another task the reMarkable 2 handles exceptionally well is PDFs; you can view, annotate, highlight, sign, organize and store them. All content within the reMarkable 2 can be synced with your choice of cloud-based services, including Google Drive, Dropbox, Microsoft OneDrive. 

Beyond PDF files, this note taking tool is compatible with Microsoft Word documents and PowerPoint presentations. It also can serve as an e-reader that accepts ePub files, but that's not the intended purpose of this device. If you're looking for a versatile digital notepad that provides a writing experience that feels like you're using real paper and a pen, reMarkable 2 is a great option.

Display size : 10.2-inches |  Display type : Paperwhite |  Resolution : 300 ppi |  Color or monochrome display : Monochrome |  Internal   storage : 16GB, 32GB, 64GB |  Expandable : No |  Stylus included : Yes |  Connectivity : USB Type-C, Wi-Fi |  Operating system : Amazon FireOS |  Battery life : Up to 12 weeks

We're huge fans of the Amazon Kindle Scribe, mainly because it can serve as a digital notepad and full-featured e-reader compatible with any Kindle-friendly e-books. The 10.2-inch paperwhite display is very easy to read, and the device's battery lasts up to three months between charges.

For our coverage of the five best e-readers for 2024 , the Scribe was named best e-reader for note taking. Be sure to read our in-depth review of this powerful tool to discover all that it can do.

The Amazon Kindle Scribe also offers yet another cool feature that other Kindles don't. It's a digital notepad. You can handwrite or draw on the display using a stylus. Use the note-taking app to create custom digital notebooks and then fill them with pages containing thoughts or sketches. These notes are stored within the Scribe, but can easily be shared when the device is connected to the internet via Wi-Fi.

As you're reading, you can annotate the content of e-books with handwritten notes, or annotate PDF files. A basic stylus comes with the Scribe and a three-month trial subscription to the Kindle Unlimited service is included, as is a USB Type-C charging cable. 

Best compact digital notepad : Moleskine smart writing set

Stylus included : Yes |  Connectivity : Bluetooth |  Battery life : Up to 11 hours | Notebook compatibility : Moleskine Smart Notebooks ( small or large ) | App : Moleskine Notes app (iOS/Android)

Most digital notepads have all of their technology built into the tablet. That's not the case with the Moleskine smart writing set. In this case, there's a lot of tech bundled into a smart pen that works just like a ball-point. In fact, the smart pen also writes on paper.

The pen must be used with one of Moleskine's smart notebooks, which come in two sizes and in either a hardcover or softcover. As you're writing using the Moleskine pen within one of these notebooks, the pen actually records everything you write and draw. Transfer the work wirelessly to a smartphone or tablet and replicate it on the screen of a mobile device.

Using the Moleskine Notes app, your can view your handwritten notes, store them as PDFs, sync them in the cloud or share them with others. Content can be kept in your own handwriting or converted into text that can be edited. And all of your notes can be associated with keywords or tags that make them easier to locate quickly. 

Another useful feature: It can simultaneously record audio from a class or meeting and link those audio files with your handwritten content. This system is ideal for someone who wants to continue writing with a pen on paper, but store and share all of their notes or drawings digitally, too. 

Display size : 10.3-inches |  Display type : E-paper |  Resolution : 2,480 x 1,860 pixels, 300 ppi (monochrome); 1,240 x 930 pixels, 150 ppi (color) |  Color or monochrome display : Color |  Internal   storage : 16GB |  Expandable : Yes (microSD card) |  Stylus included : Yes |  Connectivity : USB Type-C, Wi-Fi, Bluetooth |  Operating system : Android 12 |  Battery life : Up to 16 hours

Boox is one of the few companies that offers digital notepads and Android tablets with full-color, e-paper displays. The Boox Note Air3 C has a 10.3-inch color screen. It's primarily designed to be a digital notepad for writing or drawing using different colored virtual inks, or for annotating full-color PDF files. 

As an e-reader it accepts 17 e-book formats. The device itself is a mere 5.8mm thick and it's extremely lightweight. As a note taking tool, it offers a paper-like experience for handwriting ideas and sketches.

Because the device uses an e-ink display, it's battery lasts for many hours. But it lacks a traditional display, so don't expect to work with high-resolution photos or video with the sharpness of a traditional tablet. The colors appear more muted. Resolution improves dramatically when viewing content in monochrome. As you're handwriting, the Note Air3 C can convert your handwriting into editable text. You can also use this device to view, annotate, sign and share PDF files. The handwriting and drawing capabilities are extensive, while the e-reader features are also robust. 

Because this is an Android device, it can be used for basic tasks that a tablet can also handle, like checking email, but this is primarily a digital note-taking tool for notes. Overall, we're very impressed with the note-taking capabilities of the Note Air3 C and recommend it to someone who prefers to handwrite, store and share their notes digitally.

For slightly less money, the Note Air3 ($400) is available with a monochrome screen.  It can handle everything that the Note Air3 C can do, just without the color. If you're going to invest in a Boox digital notepad, however, we suggest going with the full-color version. The use of color gives you more options when handwriting notes, drawing or annotating PDF files. There's even a virtual highlighter that allows you to highlight text in PDF files using the colors of your choice. 

Display size : 10.3-inches |  Display type : Kaleido 3 |  Resolution : 2,480 x 1,860 pixels, 300 ppi (monochrome); 1,240 x 930, 150 ppi (color) |  Color or monochrome display : Color |  Internal   storage : 128GB |  Expandable : Yes (microSD card) |  Stylus included : Yes |  Connectivity : USB Type-C, Wi-Fi, Bluetooth |  Operating system : Android 12 |  Battery life : Up to 21 hours | Keyboard : Optional

The Boox Ultra C Pro can do everything that the Boox Note Air3 C can do as a note taking tool, but it also serves as an Android tablet.

It comes with the same collection of preinstalled apps as other Android tablets and allows you to install additional apps from the Google Play Store. The Boox Ultra C Pro has a full-color, e-ink display. This means it can be viewed in any lighting situation with virtually zero glare. 

Be warned: Between the speed of the processor and the sluggishness of the display's refresh rate, the Boox Ultra C Pro is not suitable for video. And while it can display full-color, high-resolution photos, the colors will appear muted and the images will lack detail. But this digital notebook is great for basics like web surfing, email, word processing, spreadsheets or any tasks that don't rely on video or graphics. 

Also on the plus side, the Ultra C Pro comes with a stylus and runs Android 12. It also has a built-in camera, speakers and a microSD memory card slot. It supports 24 digital file formats. A variety of optional cases (that also serve as stands) and a detachable keyboard are sold separately. While not for everyone, the Boox Ultra C Pro is a great option for people who prefer hand-writing over typing, but who want the core features of a tablet in a single, lightweight device.

How to choose a digital notepad

A digital notepad should be as comfortable and intuitive to use as a traditional pad and pen. Here are five things to consider when choosing which digital notepad is best suited to meet your needs:

• Design : The best digital notepads are compact, thin and lightweight. They rely on an e-ink display that's easy to read in any lighting (including direct sunlight) and they come with a pen-shaped stylus that's as comfortable to use as a pen. You also want the ability to choose a paper style (blank, lined, graph, etc.) and create customize notebooks that can contain any number of individual pages. The operating system should allow you to store your handwritten notes locally, sync them with a cloud account and share them with others via email. 
• Display : An e-ink display should be glare-free and easy to read in any lighting. The higher the resolution, the better (especially when it comes to full-color e-ink displays). Most displays built into digital notepads have a resolution that's measured in horizontal and vertical pixels, or in pixels per inch.
• Functionality : Beyond handwriting or drawing on the display, you might want to automatically convert writing into editable text. Other useful functions include the ability to markup, annotate and sign PDF files. Some of the best digital notepads also serve as e-readers, audiobook players and more. Also, while some digital notebooks only sync files with the manufacturer's own cloud-based service, others are compatible with services like Google Drive, Microsoft 365, Dropbox and Evernote.
• Stylus : All of the digital notepads featured in this roundup come with a pen-shaped stylus. However, in some cases, you can upgrade to a premium stylus for an additional fee. To get the most out of a digital notepad, you want a stylus that feels like a pen in your hand and that replicates the experience of handwriting on paper. If you flip over the stylus, the opposite end should work as a digital eraser (just like a traditional pencil). When using one of the best digital notepads, you can choose your virtual writing instrument. Options typically include a ball point pen, pencil, felt tip market, highlighter and fountain pen. 
• Battery life : Because these devices rely on e-ink displays, their battery life tends to be much longer than a traditional tablet. In some cases, you can expect to use a digital notepad regularly for up to four weeks before needing to recharge it.

When it comes to keeping up with the latest  technologies , our team of consumer tech experts has you covered with comprehensive product roundups, in-depth product reviews and details about where and how to find the best deals. We cover everything from  laptops  and  action cameras , to the best  TVs ,  smart grills ,  tablets ,  smartwatches  and noise canceling  earbuds  and  headphones .

Jason R. Rich ( www.JasonRich.com ) is an internationally recognized consumer technology expert with more than 30 years' writing experience. He's also an accomplished author and photographer. One of his most recently published books, The Remote Worker's Handbook: How to Effectively Work From Anywhere ($24.99, Entrepreneur Books) is now available from Amazon and wherever books are sold.

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Quantum Physics

Title: hydrodynamics and the eigenstate thermalization hypothesis.

Abstract: The eigenstate thermalization hypothesis (ETH) describes the properties of diagonal and off-diagonal matrix elements of local operators in the eigenenergy basis. In this work, we propose a relation between (i) the singular behaviour of the off-diagonal part of ETH at small energy differences, and (ii) the smooth profile of the diagonal part of ETH as a function of the energy density. We establish this connection from the decay of the autocorrelation functions of local operators, which is constrained by the presence of local conserved quantities whose evolution is described by hydrodynamics. We corroborate our predictions with numerical simulations of two non-integrable spin-1 Ising models, one diffusive and one super-diffusive, which we perform using dynamical quantum typicality up to 18 spins.

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Trump's hush-money verdict hinges on a single piece of paper. See the most important evidence in the case.

• People's Exhibit 35 is key evidence in the Donald Trump hush-money trial.
• It documents the hush-money payment and an alleged conspiracy to falsify its reimbursement.
• But whether Exhibit 35 will clinch or crash the district attorney's case depends on Michael Cohen.

Welcome to People's Exhibit 35, the single most important piece of evidence in the Donald Trump hush-money trial .

You'll see this one-page document in its succinct entirety just a few paragraphs down. Then, I'll walk you through it, section by section.

People's 35 is the fulcrum for the entire case. As they make their closing arguments this week, prosecutors are sure to say it proves Trump is guilty, while the defense will say it proves he's innocent.

And which side wins will depend in large part on whether jurors believe the key prosecution witness, Michael Cohen, who testified last week that Trump personally saw — and approved — the document's contents.

People's 35 looks a little complicated, but I promise this won't hurt a bit. Go ahead, scroll through it, just to see what it looks like, and I'll meet you on the other side, where we'll take it apart.

As shown above, People's 35 is a one-page bank statement from October 2016 for something called "Essential Consultants," an LLC controlled by Cohen.

The section highlighting, but not the handwriting, is mine.

It may not look like a lot, but I bet you when prosecutors found this hard-copy sheet of paper among hundreds of thousands of pages of subpoenaed Trump Organization documents , somebody shouted, "Holy @#$%!!!!"

People's 35 encapsulates almost the entirety of the alleged hush-money-conspiracy . It has almost everything, and all on one page.

The third block I've highlighted from the top shows Cohen wired $130,000 of his own money to a lawyer for the porn star Stormy Daniels on October 27, 2016, just 12 days before the election. That, for anyone who's sleeping through the trial , is the hush money.

The shaded block at the bottom right? That's where Cohen scribbled that Trump owed him $180,000, which is the hush money plus a $50,000 outlay Cohen previously made. (That "tech services" outlay is a funny story of its own, which we'll get to.)

And the bottom-left block shows where Trump's former top money man, his chief financial officer Allen Weisselberg , scratched out how much Cohen was owed. Weisselberg then worked out how that total would be (allegedly illegally) doubled to account for income taxes and how that grand total would then be (allegedly illegally) reimbursed.

No fingerprints, though

Yes, People's 35 has almost everything — the $130,000 hush-money payment itself and the actual chicken-scratched math behind what prosecutors call a conspiracy to falsify the business records for Cohen's reimbursement.

What People's 35 doesn't have is Trump's fingerprints, a point that the defense is sure to press during closing arguments.

To connect Trump to the alleged scheme, jurors will need to believe Cohen — who told them last week that when all the calculating and scribbling was done, he and Weisselberg marched this very page into Trump's office on the 26th floor of Trump Tower in Manhattan.

It was mid-January 2017, and Trump was days away from his inauguration.

Prosecutors say Trump's schedule was packed at the time with teleprompter training sessions and meetings with his future chief of staff, Reince Priebus.

But Trump carved out a moment nonetheless to sit with Weisselberg, his loyal CFO, and with Cohen, his attorney, who prosecutors say had just fronted $130,000 of his own cash to pay off a porn actor and was eager for repayment.

The defense counters that this meeting never happened and that Cohen and Weisselberg are solely responsible for any falsified documents.

They are expected to argue that Trump was too busy running the country in 2017 to have had a hand in the year's worth of bogus monthly "retainer" checks that reimbursed Cohen — including nine checks he signed personally .

'He approved it'

"Did he show this document to Mr. Trump?" the prosecutor Susan Hoffinger asked Cohen during direct testimony on Monday, the "he" being Weisselberg.

"Yes," Cohen answered as Trump watched from the defense table.

"And what, if anything, did Mr. Trump say at the time?" the prosecutor asked.

"He approved it," Cohen answered, referring to Trump. "And he also said, 'This is going to be one heck of a ride in DC.'"

Ready? Here's a closer look, starting with the highlighted section at the top.

Prosecutors allege that less than two weeks before the 2016 election, Cohen tapped his own home-equity line of credit in order to purchase Daniels' silence.

But Cohen obscured his role as a hush-money bag man. Instead of sending the money directly, he first wired the $130,000 into the bank account for a newly created shell company called Essential Consultants LLC.

The LLC's sole purpose was to handle the hush-money payment, Cohen testified.

"Can we put up People's Exhibit 35, please, in evidence?" Hoffinger, the prosecutor, asked just after Monday's lunch break.

The document was displayed on personal screens for each of the jurors, and on four large overhead screens for the audience.

"Do you recognize this document?" Hoffinger asked.

"I do," Cohen answered. "This is the bank statement for Essential Consultants for the period of October 26th of 2016 through the 31st of October of 2016," Cohen explained.

Next, let's turn to the highlighted section below.

Here, we see the $130,000 hush-money payment moving into, and then out of, the Essential Consultants bank account.

Cohen testified last week that he took the money from his HELOC so he could hide the big outlay from his wife.

Her name was on the HELOC, but the billing was paperless, Cohen explained.

"You decided to do it this way, it was quick, you could move the money quickly, because you wanted to conceal it from your wife, correct?" the defense lawyer Todd Blanche asked Cohen during cross-examination on Thursday.

"Correct," Cohen answered.

Related stories

Let's move to the third section from the top, highlighting where the money went.

So long, hush money.

People's Exhibit 35 shows that on October 27 — only 12 days before the election — Cohen wired the $130,000 from Essential Consultants to Keith Davidson, who was Daniels' lawyer at the time.

Davidson also repped Karen McDougal , a former Playboy Bunny who'd been paid $150,000 just weeks prior to keep her silent about a nearly yearlong affair she said she had with Trump.

Both the porn star and the pinup model say they slept with Trump at the same Lake Tahoe celebrity golf tournament in 2006. Trump's son with Melania Trump was then four months old.

Trump has consistently denied having sex with the two women.

Davidson's testimony in early May was noteworthy for its name-dropping. The attorney told jurors he peddled salacious celebrity stories to the National Enquirer, including stories targeting Charlie Sheen, Hulk Hogan, Lindsay Lohan, and Tila Tequila.

The defense used its cross-examination of Davidson to imply that Trump was no mastermind and was instead a helpless victim of something akin to celebrity extortion.

Next: Cohen's handwriting, highlighted in the bottom-right corner.

Here is where Cohen testified that he made a jotted note of another personal outlay Trump owed him for, on top of the $130,000 and the wiring fee of $35.

This was a reimbursement for $50,000 paid to the Virginia tech company RedFinch Solutions LLC.

RedFinch did polling for the Trump campaign and set up the Twitter account @WomenForCohen , touting him as a so-called "pit bull" and "sex symbol."

"He told me to add up the 130 with the 50,000 for RedFinch — total it to 180,000," Cohen testified Monday, referring to a talk he said he had with Weisselberg before the two men marched People's 35 into Trump's office.

Cohen never reimbursed RedFinch for the whole $50,000, he testified.

Finally, let's look at the bottom-left section.

"And whose handwriting is at the bottom left and middle?" Hoffinger, the prosecutor, asked Cohen as People's 35 was displayed.

"That's Allen Weisselberg's," Cohen answered.

Weisselberg has been unavailable to testify. He's serving a five-month perjury sentence for lying on Trump's behalf at last year's civil fraud trial.

"And how were you able to recognize Allen Weisselberg's handwriting?" the prosecutor asked.

"Well, I recognize the handwriting, but I was also there in the room when he was writing it," Cohen answered.

Weisselberg, in his handwritten note, started with the $180,000 Cohen said Trump owed him.

The CFO underlined the amount. Below that, he wrote, "Grossed up to $360,000."

"He told me what he was going to do was to — it's called 'gross it up,'" Cohen explained to the jury.

Weisselberg's idea — approved by Trump — was to falsely process Cohen's $180,000 reimbursement as legal fees, paid in monthly installments throughout 2017, Trump's first year in office, prosecutors say.

But because Cohen faced a 50% tax penalty on that income, Weisselberg doubled — or "grossed up" — the $180,000, Cohen testified.

"So in order to get back the 180, what he did was, he then wrote down 360,000," Cohen testified. Cohen could then take his 50% tax hit, paying the IRS $180,000 and still pocketing the $180,000 he was due.

Weisselberg tacked on an extra $60,000 year-end bonus, arriving at a grand total of $420,000, Cohen testified, continuing to translate the CFO's handwriting to jurors.

Cohen said he was told the $420,000 should be divided into monthly "retainer" checks of $35,000.

That was bad news for Cohen, who'd walked into the meeting with Weisselberg and Trump assuming he'd be reimbursed in one lump sum.

But Trump and Weisselberg had figured it all out in advance, Cohen said he soon realized.

"Did Mr. Weisselberg say in front of Mr. Trump that those monthly payments would be, you know, like a retainer for legal services?" Hoffinger asked Cohen.

"Yes," Cohen answered.

"Did you say something to the effect of that you had the sense that they had spoken about this previously?" Hoffinger asked.

"Why do you say that?" the prosecutor asked.

"Because they always played that sort of game — a 'frick and frack' type game," Cohen said.

People's 35 was still displayed on the courtroom's screens, both large and small, as Hoffinger asked what happened when Weisselberg "showed Mr. Trump this document."

"Did Mr. Trump try to renegotiate?" Hoffinger asked.

"No," Cohen answered.

"So he approved it at that point?" the prosecutor asked.

Closing arguments could come as soon as Tuesday, with jury deliberations starting as early as Thursday. Trump faces anywhere from no jail to four years in prison if convicted of felony falsification of business records.

Correction: May 20, 2024 — An earlier version of this story misstated the timing of Michael Cohen's $130,000 payment to Keith Davidson. It was 12 days before the 2016 presidential election, not 11 days.

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