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Competitive Stats
Q35Section I (Objective (Q1–Q80))35 of 80

Statistical Inference — which statements correctly bear on compositeness

Consider the following statements: The null hypothesis H0:θ∈Θ0H_0:\theta\in\Theta_0 is said to be composite if 1. Θ0\Theta_0 contains more than one point. 2. The joint distribution of (X1,X2,X3,...,Xn)(X_1,X_2,X_3,...,X_n) is completely specified. 3. For testing H0:θ∈Θ0H_0:\theta\in\Theta_0 against alternative H1:θ∈Θ1H_1:\theta\in\Theta_1 at level α\alpha, the critical region w is such that Pθ(w)≤αP_\theta(w)\le\alpha for all θ∈Θ0\theta\in\Theta_0. Which of the above are correct?

Options

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