Which of the following statements is true?
A)Decreasing α will increase the power of the test.
B)Doubling the sample size will double the power of the test.
C)A higher standard deviation would increase the power if we are testing a mean.
D)Power of the test rises if the true mean is farther from the hypothesized mean.

Question

Quizplus · Accepted Answer

The power of a test is the probability of correctly rejecting a false null hypothesis. The distance between the true mean and the hypothesized mean is a factor that affects the power of the test, so if the true mean is farther from the hypothesized mean, the power of the test increases. Option A is incorrect because decreasing type I error rate (α) will decrease the power of the test. Option B is incorrect because doubling the sample size will increase the power of the test by a factor of four, not by two. Option C is incorrect because a higher standard deviation will decrease the power of the test.

Which of the Following Statements Is True