If the null hypothesis is false, the probability of making a correct decision is given by _________.
A) alpha
B) beta
C) 1 - alpha
D) power

Question

Quizplus · Accepted Answer

The power of a statistical test is the probability of correctly rejecting the null hypothesis when it is actually false. Therefore, if the null hypothesis is false, the probability of making a correct decision is given by the power of the test. Alpha (A) is the probability of making a Type I error (rejecting the null hypothesis when it is actually true), beta (B) is the probability of making a Type II error (failing to reject the null hypothesis when it is actually false), and 1 - alpha is the level of significance or the probability of correctly accepting the null hypothesis when it is actually true. Therefore, the best choice is D, as it directly addresses the scenario where the null hypothesis is false.

If the Null Hypothesis Is False, the Probability of Making