Let n1=40​, X1=10​, n2=40​, and X2=20. Complete parts​ (a) and​ (b) below. a. At the 0.05 level of​ significance, is there evidence of a significant difference between the two population​ proportions?   Determine the null and alternative hypotheses. Choose the correct answer below.     A. H0: π1≤π2 H1: π1>π2   B. H0: π1≥π2 H1: π1<π2   C. H0: π1≠π2 H1: π1=π2   D. H0: π1=π2 H1: π1≠π2   Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2.   The test​ statistic, ZSTAT​, is ? ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Calculate the​ p-value.   The​ p-value is ? ​(Type an integer or a decimal. Round to three decimal places as​ needed.)   b. Construct a 95​% confidence interval estimate of the difference between the two population proportions.   ?≤π1−π2≤? ​(Type integers or decimals. Round to four decimal places as​ needed.)

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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.