A test is said to be most powerful test of size α, if_______________?
Correct answer: A. Among all other test of size α or less it has the largest power
- A. Among all other test of size α or less it has the largest power
- B. Among all other test of size α or greater it has the largest 1 - α
- C. Among all other test of size α or greater it has the smallest power
- D. Among all other test of size α or greater it has the largest β
Explanation
A most powerful test has the greatest power among all tests whose size is α or smaller. Restricting size prevents a test from appearing better merely by allowing a larger Type I error probability.
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