Ononot — Consider testing H0: \theta = 0 vs H1: \theta > 0. If the po

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Inferential Statisticshard

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Consider testing $H_0: \theta = 0$ vs $H_1: \theta > 0$ . If the power function is $\beta(\theta) = \Phi(\theta \sqrt{n} - z_{1-\alpha})$ , what is the sample size $n$ required to achieve power $1-\beta$ at a specific $\theta = \theta_a$ ?