Conduct the following test at the α=0.01 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=254​, x2=36 and n2=302.

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