Suppose you are reading about a statistically significant result x (at level α) from a one-sided test T+ of the mean of a Normal distribution with n iid samples, and (for simplicity) known σ: H0: µ ≤ 0 against H1: µ > 0. I have heard some people say [0]: A. If the test’s power to detect alternative µ’ is very low, then […]