Which of the following describes the power of a test?
A)It is the probability of making the correct decision when the alternative hypothesis is true.
B)Bigger samples result in more power for the test, and smaller samples result in less power for the test.
C)It is higher when the population value is farther from the value in the null hypothesis.
D)All of the above.

Question

Quizplus · Accepted Answer

All three choices describe the power of a test. Choice A is referring to the probability of correctly rejecting the null hypothesis when it is false, which is a measure of the test's power. Choice B is stating that larger sample sizes generally result in a greater ability to detect a significant difference, which is also a measure of power. Choice C is referring to the effect size or the magnitude of the difference between the null and alternative hypotheses, which is another factor that affects power. Therefore, all of these choices describe the power of a test.

Which of the Following Describes the Power of a Test