Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #P2. Sample data are x, = 28, n, = 255, x2 = 38, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = p2 versus H,: p, P2 O D. Ho: P, = 0 versus H,: p, = 0 (b) The test statistic z, is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that P, >P2. O B. Reject the null hypothesis because there sufficient evidence to conclude that p, P2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #p2- O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <2

Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #P2. Sample data are x, = 28, n, = 255, x2 = 38, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = p2 versus H,: p, P2 O D. Ho: P, = 0 versus H,: p, = 0 (b) The test statistic z, is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that P, >P2. O B. Reject the null hypothesis because there sufficient evidence to conclude that p, P2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #p2- O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <2

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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