Mathematics · Hypothesis Testing
Let X be a discrete random variable with sample space X = {1, 2, ..., 10} and probability mass function p(x). Consider testing H0: p(x) = 110 against H1: p(x) ∝ x based on a single observation X. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The test with critical region {X ≥ 2} is most powerful of its size✓
- 2The test with critical region {X < 2} is unbiased at level α = 0.1
- 3If X = 7, the p-value of the most powerful test is exactly 0.6
- 4There exists a non-randomized test of size exactly 0.05
Correct answer
The test with critical region {X ≥ 2} is most powerful of its size
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