Which of the following is true about the value of the power of the test?
A) low value will enable valid conclusions to be made
B) small sample sizes generate a low value of the power of the test
C) low value will help in detecting small differences in sample statistics
D) small sample sizes incur higher costs than large sample sizes

Question

Quizplus · Accepted Answer

The power of the test measures the ability of a statistical test to correctly reject a false null hypothesis. A higher value of the power of the test indicates a higher probability of rejecting the null hypothesis correctly. A low value of the power of the test indicates a high probability of making a Type II error. Small sample sizes generate a low value of the power of the test because the sample statistics may not accurately represent the larger population. Therefore, B is the correct choice. Choice A and C are incorrect because a low value of the power of the test does not enable valid conclusions to be made or help in detecting small differences in sample statistics. Choice D is not relevant to the value of the power of the test.

Which of the Following Is True About the Value of the Power