We would like to
A) maximize the power of a test.
B) minimize the probability of a Type I error.
C) do both a and b
D) maximize the probability of a Type II error.

Question

Quizplus · Accepted Answer

It is important to balance the power of a test with the probability of making a Type I error. The power of a test is the probability of correctly rejecting a false null hypothesis (i.e. the probability of detecting a real difference when one exists). Minimizing the probability of a Type I error is important because it ensures that we are not incorrectly rejecting a null hypothesis that is actually true. However, if we focus solely on minimizing Type I errors, we may have a low power test that fails to detect real differences. Therefore, the best choice is to aim for a balance between maximizing power and minimizing the probability of a Type I error.

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