Question: (10 points) Let X, X2, ..., Xn be i.i.d. random variables from Bern(0), 0 (0, 1). Apply the Neyman- Pearson lemma to find the

(10 points) Let X, X2, ..., Xn be i.i.d. random variables from

(10 points) Let X, X2, ..., Xn be i.i.d. random variables from Bern(0), 0 (0, 1). Apply the Neyman- Pearson lemma to find the most powerful test for verifying Ho : 0 = 0.5 against H : 0 = 0.75 at significance level of a. Test the null hypothesis with n = 50, 1 = 30 and a = 0.05.

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To find the most powerful test for verifying the hypotheses we can apply the NeymanPearson lemma The NeymanPearson lemma states that among all tests with a fixed significance level the likelihood rati... View full answer

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