Conduct the following test at the (x = 0.05 level of signicance 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 = 30, n1 = 254, x2 = 38 and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. 0 H0:p1=p2 versus H1: p1 p2 O H0:p1=p2 versus H1: p1 #pz (b) The test statistic 20 is |:. (Round to two decimal places as needed.) (c) The critical values are t '1. (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. Reject the null hypothesis. 0 Do not reject the null hypothesis