Conduct a test at the o = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling Test whether p, > p2. The sample data are x1 = 117, n, = 246, X2 = 144, and n2 = 314. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = P2 versus H, : P1 # P2 O B. Ho: P1 = P2 versus H1 : P1 = P2 O C. Ho: P1 = P2 versus H, : P, > P2 O D. Ho: P1 =0 versus Hy : p1 7 0 (b) Determine the test statistic. Zo =(Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there is sufficient evidence to conclude that p, = P2. O B. 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 not sufficient evidence to conclude that p, # P2