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=30​, n1=255​, x2=38 and n2=301. ​(a) Determine the null and alternative hypotheses. Choose the correct answer below.     H0: p1=p2 versus H1: p1≠p2   H0: p1=p2 versus H1: p1p2   ​(b) The test statistic z0 is nothing. ​(Round to two decimal places as​ needed.) ​(c) The critical values are ±nothing. ​(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.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.