3 44 For testing with two binomial variates y and y2, a reasonable test would not reject Ho if y y2 0 Since as and approach 0, the probability of this converges to 1 even if 2, explain why any such test is biased, potentially having power less than its size (Haber 1986)

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Question: 3.44 For testing : = with two binomial variates y and y2, a reasonable test would not reject Ho if y = y2

3.44 For testing Ηο: πι = π₂ with two binomial variates y₁ and y2, a "reasonable" test would not reject Ho if y₁ = y2 = 0. Since as π₁ and π₂ approach 0, the probability of this converges to 1 even if π₁ ≠ π2, explain why any such test is biased, potentially having power less than its size (Haber 1986).

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