Determine the test statistic, p value, and results, statistics homework help

  

Conduct a test at the a = 0.05 level of significant by determining (a) the null and alternative hypothesis, (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 p1 > p2. The sample data are x1 = 129, n1 = 252, x2 = 144, and n2 = 314.(a) Choose the correct null and alternative hypotheses below.A. H0 : p1 = p2 versus H1 : p1 ≠ p2B. H0 : p1 = p2 versus H1 : p1 > p2C. H0 : p1 = p2 versus H1 : P1 < p2D. H0 : p1 = 0 versus H1 : p1 ≠ 0(b) Determine the test statistic. z0 = __ (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?A. Reject the null hypothesis because there is sufficient evidence to conclude that p1 < p2.B. Reject the null hypothesis because there is sufficient evidence to conclude that p1 > p2.C. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p1 ≠ p2.D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1 < p2.

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