Ononot — Suppose we are testing H0: \theta = 0 against Ha: \theta > 0

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Inferential Statisticshard

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Suppose we are testing $H_0: \theta = 0$ against $H_a: \theta > 0$ . We define the power function $\beta(\theta) = P_{\theta}(\text{Reject } H_0)$ . If the test is unbiased, which of the following must hold for the power function?