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Maximum Likelihood Tests

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October 11th, 2022

Let X1,X2…,Xn be a random sample from a Bernoulli b(1, theta) distribution, where 0<theta<1. For n=100 and theta(0)=1/2, find c1 so that the test rejects H0 when Y<= c1 or Y>= 100-c1 has the approximate significance level of alpha=0.05. Hint: Use the Central Limit Theorem.

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