For a given sample size n, ________.
A) decreasing the probability of a Type I error α will increase the probability of a Type II error β
B) decreasing the probability of a Type I error α will decrease the probability of a Type II error β
C) changing the probability of a Type I error α will have no impact on the probability of a Type II error β
D) increasing the probability of a Type I error α will increase the probability of a Type II error β as long as σ is known

Question

Quizplus · Accepted Answer

Decreasing the probability of a Type I error (α), which is rejecting a true null hypothesis, generally increases the probability of a Type II error (β), which is failing to reject a false null hypothesis. This is because there is a trade-off between the two types of errors; making it harder to make one type of error typically makes it easier to make the other type.

For a Given Sample Size N, ________