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Question #15 The test statistic of z=0.78 is obtained when testing… Question #15The test statistic of z=0.78 is obtained when testing the claim that p > 0.3.a. Identify the hypothesis test as being? two-tailed, left-tailed, or? right-tailed.b. Find the? P-value.c. Using a significance level of a=0.05?,should we reject H0 or should we fail to reject H0??View page 1 of the standard normal distribution table. NEGATIVE z Scores Standard Normal (7) Distribution: Curnulative Area from the LEFT 140and -11 11 HOOT-24… Show moreView page 2 of the standard normal distribution table. POSITIVE z Scores 0 Standard Normal (z) Distribution: Cumulative Area from the LEFT 19 100 03 6120 5199 6279 5319 500D 5040 5675 5714 5478 9636 5753 5617 02 6064 8141 03 0.5 1 50 und up3.5… Show morea. This is a __________ ( A. right-tailed, B. two-tailed, C. left-tailed ) test.b. P-value= __________ ?(Round to three decimal places as? needed.)c. Choose the correct conclusion below.A. Failtoreject H0. There isnot sufficient evidence to support the claim that p > 0.3.B. Reject H0. There isnot sufficient evidence to support the claim that p > 0.3.C. Failtoreject H0. There is sufficient evidence to support the claim that p > 0.3.D. Reject H0. There is sufficient evidence to support the claim that p > 0.3.Question #17Suppose 249 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20?% of users develop nausea.Identify the null and alternative hypotheses for this test. Choose the correct answer below.A. H0?: p = 0.20 H1?: p ? 0.20B. H0?: p = 0.20 H1?: p < 0.20C. H0?: p > 0.20 H1?: p = 0.20D. H0?: p = 0.20 H1?: p > 0.20Identify the test statistic for this hypothesis test.The test statistic for this hypothesis test is __________. ?(Round to two decimal places as? needed.)Identify the? P-value for this hypothesis test.The? P-value for this hypothesis test is ___________.?(Round to three decimal places as? needed.)Identify the conclusion for this hypothesis test.A. Reject H0. There isnot sufficient evidence to warrant support of the claim that more than 20?% of users develop nausea.B. Failtoreject H0. There isnot sufficient evidence to warrant support of the claim that more than 20?% of users develop nausea.C. Reject H0. There is sufficient evidence to warrant support of the claim that more than20?% of users develop nausea.D. Failtoreject H0. There is sufficient evidence to warrant support of the claim that more than 20?% of users develop nausea.Question #18In a test of the effectiveness of garlic for lowering? cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes? (before minus? after) in their levels of LDL cholesterol? (in mg/dL) have a mean of0.4 and a standard deviation of 21.6. Use a 0.01 significance level to test the claim that with garlic? treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic? treatment? Assume that a simple random sample has been selected. Identify the null and alternative? hypotheses, test? statistic, P-value, and state the final conclusion that addresses the original claim.What are the null and alternative? hypotheses?A. H0?: = 0 ?mg/dL H1?: < 0 mg/dLB. H0?: > 0 mg/dL H1?: < 0 mg/dLC. H0?: = 0 mg/dL H1?: ? 0 mg/dLD. H0?: = 0 mg/dL H1?: > 0 ?mg/dLDetermine the test statistic.____________ (Round to two decimal places as? needed.)Determine the? P-value.___________ ?(Round to three decimal places as? needed.)State the final conclusion that addresses the original claim.___________ ( A. Fail to reject, B. Reject ) H0. There is ___________ ( A. sufficient, B. not sufficient ) evidence to conclude that the mean of the population of changes ______________( A. is less than, B. is not, C. is greater than, D. equal to ) 0.MathStatistics and Probability MS 205

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