Conduct the following test at the a= 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 samplir Test whether p, # p2. Sample data are x, = 30, n, = 254, xX2 = 36, and ng = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = P2 versus H,: P, P2 O C. Họ: P1 = P2 versus H,: P, #P2 OD. 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 is not sufficient evidence to conclude that p,

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Conduct the following test at the a= 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 p, # P2. Sample data are x1 = 30, n, = 254, 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 = p2 versus H,: P1 > P2
OC. Họ: P1 = P2 versus H1: P1 # P2
O D. Ho: P1 = 0 versus H,: P1 = 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 is not sufficient evidence to conclude that p, < p2.
O C. Reject the null hypothesis because there is sufficient evidence to conclude that p, # p2
O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, + p2
Transcribed Image Text:Conduct the following test at the a= 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 p, # P2. Sample data are x1 = 30, n, = 254, 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 = p2 versus H,: P1 > P2 OC. Họ: P1 = P2 versus H1: P1 # P2 O D. Ho: P1 = 0 versus H,: P1 = 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 is not sufficient evidence to conclude that p, < p2. O C. Reject the null hypothesis because there is sufficient evidence to conclude that p, # p2 O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, + p2
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