Conduct the following test at thế a=U.01 level of sighilican Hypouleses, (B) Uhể test statstc, and (e) the P-value. Assume that the sampleS were obtained independently using simple random sampling Test whether p, #P2. Sample data are x, = 30, n, = 254, x2 = 38, and n = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below OA Ho: P =P2 versus H,: P, > P2 O B. Ho: P1 =0 versus H: P1 =0 OC. Ho: P =P2 versus H;: P1 P2- OD. 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 independentiy using simole randem camte
Test whether p, #P2. Sample data are x, = 30, n, = 254, x, = 38, and n, = 302.
(a) Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: P1 = P2 versus H,: P, >P2
O B. Ho: P1 = 0 versus H,: P, =0
OC. Họ: P1 = P2 versus H;: P1 <P2
O D. Ho: P1 = P2 versus H,: P, #P2
(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. Reject the null hypothesis because there is sufficient evidence to conclude that p, # P2
OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, +p2.
OC. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, >P2-
O D. 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 independentiy using simole randem camte Test whether p, #P2. Sample data are x, = 30, n, = 254, x, = 38, and n, = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 versus H,: P, >P2 O B. Ho: P1 = 0 versus H,: P, =0 OC. Họ: P1 = P2 versus H;: P1 <P2 O D. Ho: P1 = P2 versus H,: P, #P2 (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. Reject the null hypothesis because there is sufficient evidence to conclude that p, # P2 OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, +p2. OC. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, >P2- O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <P2-
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