Unit 7 – Hypothesis Testing Practice Problems SOLUTIONS - UMass
Carry out an appropriate statistical test and interpret your findings. ANSWER . Yes, a paired t-test suggests that the average difference in hours slept (Dalmane – Halcion) = 0.32 is statistically significant (one sided p-value = .018). SOLUTION . This question is asking for a hypothesis test of the equality of two means in the setting of ...
ONE SAMPLE HYPOTHESIS TESTS WORKSHEET MTH 3210 - MSU Denver
Test the null hypothesis that the mean yearly rainfall of all locations in the Amazon rain forest is 200. Use a two-sided test with = :05. State the conclusion in terms of the problem and calculate the P-value for this test. 4. Solutions to Exercises (1)Solution: Test Statistic z= 300 320 p37 19 = 2:36 Rejection Region (1 ; 2:576] or [2:576;1)
Worksheet 13: hypothesis testing - San José State University
Worksheet 13: hypothesis testing Example 0.103. In the brown egg problem, suppose the true population stan-dard deviation = 2 grams. A person decides to use the following decision rule (for a sample of size n = 12, i.e., a carton of eggs) |x¯65| > 1 to conduct the two-sided test H 0: µ = 65 vs H 1: µ 6= 65 .
Hypothesis Testing - California State University San Marcos
0. 1. Left-tailed Test. H0 : μ = k H1 : μ < k P-value = P (z < zø) x This is the probability of getting a test statistic as low as or lower than zø x. If P-value ↵, we reject H0 and say the data are statistically significant at the level ↵. If P-value > ↵, we do not reject H0.
TWO SAMPLE HYPOTHESIS TEST WORKSHEET MTH 3210 - MSU Denver
TWO SAMPLE HYPOTHESIS TEST WORKSHEETMTH 3210For hypothesis tests involving two unknown population means (usually means of similar populations), we start with a null hypothesis, H0, which states that the true di erence of population means. 1 2, is equal to 0, or, equivalently, 1 = 2.In each hypothesis test, we rst select a signi cance level ...
Hypothesis Testing - Duke University
23.1 How Hypothesis Tests Are Reported in the News 1. Determine the null hypothesis and the alternative hypothesis. 2. Collect and summarize the data into a test statistic. 3. Use the test statistic to determine the p-value. 4. The result is statistically significant if the p-value is less than or equal to the level of significance.
Title: Summary/Review of Hypothesis Testing/Confidence ...
the hypothesis testing or to create the interval. Write out your solutions on a separate piece of paper. 6. Then try at least two problems on your own. 7. Return to the tutor to see how successful you were in carrying out the test or finding the interval. 8. On a separate sheet of paper, finish the problems and then check the correctness with ...
STATS 113 Problem Sessions Hypothesis Tests/Confidence ...
claim. How would you write the null and alternative hypothesis? 6. Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether to reject the null hypothesis for the level of significance α. a. Left-tailed test, z = -1.32, α = 0.10 b. Right-tailed test, z = 2.46, α = 0.01 c. Two-tailed test, z = -1.68, α = 0.05
These hypotheses can be written in mathematical terms as : 1. H. 0 : p =. 3. > H : p. 3. ere p is the probability of success assuming that H0 is true; that is, subjects c. nce and are randomly guessing.In order to reject H0 and adopt H 1, your experimental results will have to be ones which are.
9.E: Hypothesis Testing with One Sample (Exercises)
Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. The null and alternative hypotheses are: H0: ˉx = 4.5, Ha: ˉx> 4.5 H 0: x ¯ = 4.5, H a: x ¯> 4.5.
COMMENTS
Carry out an appropriate statistical test and interpret your findings. ANSWER . Yes, a paired t-test suggests that the average difference in hours slept (Dalmane – Halcion) = 0.32 is statistically significant (one sided p-value = .018). SOLUTION . This question is asking for a hypothesis test of the equality of two means in the setting of ...
Test the null hypothesis that the mean yearly rainfall of all locations in the Amazon rain forest is 200. Use a two-sided test with = :05. State the conclusion in terms of the problem and calculate the P-value for this test. 4. Solutions to Exercises (1)Solution: Test Statistic z= 300 320 p37 19 = 2:36 Rejection Region (1 ; 2:576] or [2:576;1)
Worksheet 13: hypothesis testing Example 0.103. In the brown egg problem, suppose the true population stan-dard deviation = 2 grams. A person decides to use the following decision rule (for a sample of size n = 12, i.e., a carton of eggs) |x¯65| > 1 to conduct the two-sided test H 0: µ = 65 vs H 1: µ 6= 65 .
0. 1. Left-tailed Test. H0 : μ = k H1 : μ < k P-value = P (z < zø) x This is the probability of getting a test statistic as low as or lower than zø x. If P-value ↵, we reject H0 and say the data are statistically significant at the level ↵. If P-value > ↵, we do not reject H0.
TWO SAMPLE HYPOTHESIS TEST WORKSHEETMTH 3210For hypothesis tests involving two unknown population means (usually means of similar populations), we start with a null hypothesis, H0, which states that the true di erence of population means. 1 2, is equal to 0, or, equivalently, 1 = 2.In each hypothesis test, we rst select a signi cance level ...
23.1 How Hypothesis Tests Are Reported in the News 1. Determine the null hypothesis and the alternative hypothesis. 2. Collect and summarize the data into a test statistic. 3. Use the test statistic to determine the p-value. 4. The result is statistically significant if the p-value is less than or equal to the level of significance.
the hypothesis testing or to create the interval. Write out your solutions on a separate piece of paper. 6. Then try at least two problems on your own. 7. Return to the tutor to see how successful you were in carrying out the test or finding the interval. 8. On a separate sheet of paper, finish the problems and then check the correctness with ...
claim. How would you write the null and alternative hypothesis? 6. Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether to reject the null hypothesis for the level of significance α. a. Left-tailed test, z = -1.32, α = 0.10 b. Right-tailed test, z = 2.46, α = 0.01 c. Two-tailed test, z = -1.68, α = 0.05
These hypotheses can be written in mathematical terms as : 1. H. 0 : p =. 3. > H : p. 3. ere p is the probability of success assuming that H0 is true; that is, subjects c. nce and are randomly guessing.In order to reject H0 and adopt H 1, your experimental results will have to be ones which are.
Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. The null and alternative hypotheses are: H0: ˉx = 4.5, Ha: ˉx> 4.5 H 0: x ¯ = 4.5, H a: x ¯> 4.5.