Conduct the following test at the alpha equals 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 not equals p2. Sample data are x1 equals 30, n1 equals 254, x2 equals 36, and n2 equals 301.