Statistics Graduate Level Quiz
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HYPOTHESIS TESTING
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An observation takes values a,b,ca,b,c. Under H0H_0, their probabilities are 0.2,0.3,0.50.2,0.3,0.5, respectively; under H1H_1, their probabilities are 0.4,0.6,00.4,0.6,0. Let ϕj\phi_j denote the probability of rejection when outcome jj occurs. Which statement correctly characterizes the level-0.250.25 most powerful tests?
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