Which of the following is an accurate definition for the power of a statistical test?
A)The probability of rejecting a true null hypothesis
B)The probability of supporting true null hypothesis
C)The probability of rejecting a false null hypothesis
D)The probability of supporting a false null hypothesis

Question

Which of the following is an accurate definition for the power of a statistical test?​
A)​The probability of rejecting a true null hypothesis
B)​The probability of supporting true null hypothesis
C)​The probability of rejecting a false null hypothesis
D)​The probability of supporting a false null hypothesis

Quizplus · Accepted Answer

The power of a statistical test is the probability of rejecting a false null hypothesis. It represents the sensitivity of the test to detect a true difference or effect if it exists. Therefore, a higher power implies a lower probability of Type II error (failing to detect a true effect). Option A is incorrect because the probability of rejecting a true null hypothesis is equal to the significance level (probability of Type I error). Option B and D are incorrect as they refer to supporting null hypotheses which are usually assumed as the default position, and statistical tests aim to provide evidence against them.

Which of the Following Is an Accurate Definition for the Power