Q26Section I (Objective (Q1–Q80))26 of 79

Statistical Inference — locally most powerful test

Let X be a random variable with $N(\theta,1+a\theta^2)$ , $a>0$ . The locally Most Powerful Test for testing $H_0:\theta=0$ against $H_1:\theta>0$ is: (with $Z_\alpha$ the upper $\alpha\%$ value of $N(0,1)$ )

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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