Q17Section I (Objective (Q1–Q80))17 of 79

Statistical Inference — UMP test critical region

Let $X$ be a random variable with pdf $f(x,\theta)=2\theta x+1-\theta$ , $0<x<1$ , $-1\le\theta\le1$ . Based on a sample size one, the Uniformly Most Powerful (UMP) critical region for testing $H_0:\theta=0$ versus $H_1:\theta>0$ at level $\alpha=0.05$ is given by:

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

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