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Conduct the following test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and

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Conduct the following test at the a = 0.10 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, = 30, n, = 254, x2 = 36, and n2 = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, = P2 versus H, : P, #P2 O B. Ho P, =0 versus H, : P1 = 0 O C. Ho: P1 =P2 versus H, 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. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, # Pz O B. Reject the null hypothesis because there is sufficient evidence to conclude that p, #P2. O C. Do not reject the null hypothesis because there is sufficient evidence to conclude that P, > P2- D. Reject the null hypothesis because there is not sufficient evidence to conclude that P,

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