Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test.
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n1 = 100; n2 = 100x1 = 38; x2 = 400.04120.16100.77180.2130 Answer: p = (38+ 40)/(100 + 100) = 0.39z = (38/100 - 40/100)/sqrt(0.39*(1-0.39)*(1/100 + 1/100)) = -0.2899P-value = P(|z| > 0.2899) = 0.7718
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