Conduct the following test at the alpha equals0.01   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 p 1 not equals p 2 . Sample data are x 1 equals 28 ​, n 1 equals 254 ​, x 2 equals 38   and n 2 equals 30

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