Inferential Statisticshard
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Consider the Neyman-Pearson Lemma for testing H0:θ=θ0H_0: \theta = \theta_0 against H1:θ=θ1H_1: \theta = \theta_1. If the likelihood ratio Λ(x)=L(θ0x)L(θ1x)\Lambda(x) = \frac{L(\theta_0|x)}{L(\theta_1|x)} is used to define the rejection region R={x:Λ(x)<k}R = \{x : \Lambda(x) < k\}, what property does this test possess?