Conduct the following test at the α=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling. Test whether p1​=p2​. Sample data are x1​=28,n1​=255,x2​=38 and n2​=301. (a) Detamine the null and allernative hypotheses. Choose the correct answer below. H0​:p1​=p2​ versus H1​:P1​p2​ (b) The test statistic zo is (Round to two decimal places as needed.) (c) The critical values are ± (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. Do not reject the null hypothesis. Reject the null hypothesis.