Q57Section ST (Statistics (Q11–Q65))57 of 65

Existence of a UMP test

Let $X$ be a single observation from a distribution having a probability density function $f_\theta$ , $\theta \in \Theta$ . For testing $H_0: \theta = 1$ against $H_1: \theta \ne 1$ , under which of the following options a uniformly most powerful test of level 0.05 exists?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next