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Conduct the following test at the or = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and
Conduct the following test at the or = 0.01 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 p1 # P2. Sample data are X1 = 28, n, = 255, X2 = 36, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 versus H1 : P1 > P2 O B. Ho: P1 = 0 versus H1 : P1 = 0 O C. Ho: P1 = P2 versus Hy : P1 = P2 O D. Ho: P1 = P2 versus Hy : P1 # P2 (b) The test statistic Zo 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. Reject the null hypothesis because there is sufficient evidence to conclude that p, # P2- O B. Reject the null hypothesis because there is not sufficient evidence to conclude that p, = P2. O C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, # P2. O D. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, > P2
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