Question: Find the power. Consider testing the null hypothesis that two proportions are equal versus the two-sided alternative with 5 0.05, 80% power, and equal

Find the power. Consider testing the null hypothesis that two proportions are equal versus the two-sided alternative with 5 0.05, 80% power, and equal sample sizes in the two groups.

(a) For each of the following situations, find the required sample size: (i) p1 5 0.1 and p2 5 0.2, (ii) p1 5 0.2 and p2 5 0.3, (iii) p1 5 0.3 and p2 5 0.4, (iv) p1 5 0.4 and p2 5 0.5, (v) p1 5 0.5 and p2 5 0.6, (vi) p1 5 0.6 and p2 5 0.7, (vii) p1 5 0.7 and p2 5 0.8, and (viii) p1 5 0.8 and p2 5 0.9.

(b) Write a short summary describing your results.

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