Suppose that we are to conduct the following hypothesis test: H0:μ=136 H1:μ≠136 Suppose σ is not known. Taking a sample of 11 lead to a test statistic of tc=−2.228 The p-value is For α=0.01, what would be the decision for the hypothesis test? A. Reject H1. B. Do Not Reject H1. C. Do Not Reject H0. D. Reject H0.
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Suppose that we are to conduct the following hypothesis test:
H0:μ=136
H1:μ≠136
Suppose σ is not known. Taking a sample of 11 lead to a test statistic of tc=−2.228
The p-value is
For α=0.01, what would be the decision for the hypothesis test?
A. Reject H1.
B. Do Not Reject H1.
C. Do Not Reject H0.
D. Reject H0.
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- Suppose we test H0: π1 = π2 at the 0.05 level of significance. If the z-test statistic is −1.07, what is our decision? Multiple Choice A. Reject the alternate hypothesis. B. Do not reject the null hypothesis. C. Reject the null hypothesis. D. Reserve judgment until a larger sample can be taken.Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.The hypothesis shown below is being tested. The test statistic calculated by the analyst was Z = +1.76 for a sample size of 200. Which one of the statements below the correct decision? H: µ=120 H,: µ 120 O Reject the null hypothesis at the 0.05 level of significance Do not reject the null hypothesis at the 0.05 level of significance Reject the null hypothesis because the p-value is .0392 which is significant O Do not reject the null hypothesis because the test statistic is less than 2.0
- I randomly sample 219 students and ask them to provide their USF GPA. I wish to determine if the average GPA of all USF students ex mu + 3.25 ceeds 3.25. Unfortunately, I generated the printout shown here: One-Sample T Test Null Hypothesis: H - 3.25 Alternative Hyp: u- 3.25 Variable Mean SE DF GPA 3.3121 0.0340 1.82 218 0.0694 Cases Included 219 What assumption is needed for this analysis to be valid? None. The Central Limit Theorem applies and no other assumptions are needed. The GPAS of all USF students need to be approximately normally distributed The mean GPA of all USF students need to be approximately normally distributedTest the claim about the population mean, p, at the given level of significance using the given sample statistics. Claim: p = 30; a = 0.06; o = 3.25. Sample statistics: x 28 9, n 73 Identify the null and alternative hypotheses.. Choose the correct answer below. Ο Α. Hρ: μ= 30 O B. Ho µ30 H3 µ = 30 OD. H, p 30 Ha p= 30 O E. H, p= 30 H3 µ> 30 OF H, p-30 H µ<30 a.The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06
- Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: #6000; α=0.07; = 389. Sample statistics: x=6200, n=35 μ Identify the null and alternative hypotheses. Choose the correct answer below. Ο A. Ho: μ = 6000 Ha: µ#6000 OC. Ho µ‡ 6000 H₂ μ=6000 QE. Ho: 26000 H₂: μ#6000 OB. Ho u≤6000 Ha μ#6000 O D. Ho: μ#6000 Hai μ ≥6000 OF. Ho μ#6000 H₂ μ≤6000 11Consider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) x = 103 and s = 11.5Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 352 millionaires surveyed, 60 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: pv Select an answer v (please enter a decimal) H: pv Select an answer v (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is > vV a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%. O The data suggest the population…
- Suppose that you are to conduct the following hypothesis test for matched data: H0:μd=0 H1:μd≠0 For a sample of 16, it was found that d¯=−1.9 and sd=4.59. Determine each of the following: The value of the test statistic: For ?α = 0.025, the final conclusion is A. There is enough evidence to say that ??=0μd=0B. There is not enough evidence to say that ??=0μd=0C. There is enough evidence to say that ??≠0μd≠0D. There is not enough evidence to say that ??≠0μd≠0.The following data represents the level of health and the level of education for a random sample of 1642 residents. Does the sample evidence suggest that level of education and health are independent at the α=0.05 α=0.05 level of significance? Find the test statistic χ2χ2. Find the P-value. Make the proper conclusion about this hypothesis test. Education Excellent Good Fair Poor Not a H.S. graduate 149 152 85 120 H.S. graduate 127 104 69 95 Some College 81 138 61 116 Bachelor Degree or higher 74 103 73 95Suppose that you are to conduct the following hypothesis test for matched data: Pr : °H H: Ha + 0 %3D For a sample of 21, it was found that d = 2.2 and sa = 3.42. Determine each of the following: !3! The value of the test statistic: For a 0.05, the final conclusion is A. There is enough evidence to say that Ha = 0 B. There is not enough evidence to say that ua = 0 C. There is enough evidence to say that Hd #0 D. There is not enough evidence to say that Ha #0.