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Inferential Statisticshard
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Consider testing H0:θ=θ0H_0: \theta = \theta_0H0​:θ=θ0​ against H1:θ≠θ0H_1: \theta \neq \theta_0H1​:θ=θ0​. If the test statistic TTT has a null distribution f0f_0f0​ and the alternative distribution f1f_1f1​, what does the Power of the test β(θ1)=P(T∈R∣θ=θ1)\beta(\theta_1) = P(T \in R | \theta = \theta_1)β(θ1​)=P(T∈R∣θ=θ1​) signify?