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Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sampl consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.05 significance level) and a 95 confidence interval estimate of p, - P2. What are the null and alternative hypotheses for the hypothesis test?

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sampl consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.05 significance level) and a 95 confidence interval estimate of p, - P2. What are the null and alternative hypotheses for the hypothesis test?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, - P2. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P1 = P2 В. Но: Р1 - Р2 C. Ho: P1 SP2 H1:P1 <P2 H1: P1 #P2 H1: P1 # P2 O D. Ho: P1 2 P2 H4:P1 #P2 O E. Ho: P1 # P2 H1: P1 = P2 O F. Ho: P1 = P2 H1: P1 > P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that p, # p2. The 95% confidence interval is (Round to three decimal places as needed.)
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, - P2. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P1 = P2 В. Но: Р1 - Р2 C. Ho: P1 SP2 H1:P1 <P2 H1: P1 #P2 H1: P1 # P2 O D. Ho: P1 2 P2 H4:P1 #P2 O E. Ho: P1 # P2 H1: P1 = P2 O F. Ho: P1 = P2 H1: P1 > P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that p, # p2. The 95% confidence interval is (Round to three decimal places as needed.)
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = p, (with a 0.05 significance level) and a 95% confidence interval estimate of p, - P2: ... Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that p, The 95% confidence interval is < (P1 - P2) <U (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is in the interval, it indicates to the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p1 P2, and the confidence interval suggests that P1 P2
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2000 people with 1460 of them having the same common attribute. Compare the results from a hypothesis test of p, = p, (with a 0.05 significance level) and a 95% confidence interval estimate of p, - P2: ... Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that p, The 95% confidence interval is < (P1 - P2) <U (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is in the interval, it indicates to the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p1 P2, and the confidence interval suggests that P1 P2
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