Correct answer: (A) The level-α likelihood-ratio test has the same critical region as the most powerful level-α test.
Explanation
For two simple hypotheses the Neyman–Pearson test is a likelihood-ratio test. Here L₂/L₁=2⁻ⁿexp(Σxi/2), increasing with the sum, so the most powerful rejection region uses large sums. Thus A. B instead rejects in the wrong lower tail.
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