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Solve these 1 through 4 questions please 2. To test the null hypothesis p1 = p2 with two independent samples of sizes n and n2,

Solve these 1 through 4 questions please

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2. To test the null hypothesis p1 = p2 with two independent samples of sizes n and n2, we require that nj & N1/20, that n2 10, and that n2 * p2 * (1 -p2) > 10. Our test statistic TS is P1 - P2 VP * (1 -p) * (+ ) where p is the pooled estimate p = (21 + 12)/(n + n2). (a) For a two-tailed test, we may compute ta/2 = +InvNorm(a/2, 0, 1) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 * normalcdf (|TS|, co, 0, 1) and check that P p2 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance o = 0.05, using a two-tailed test? iv. Can we reject the null hypothesis at level of significance o = 0.01, using a two-tailed test

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