Reducing the probability of a Type I error, increases the probability of a Type II error.

Question

Quizplus · Accepted Answer

When reducing the probability of a Type I error (rejecting a true null hypothesis), the threshold for rejecting the null hypothesis becomes more stringent. This, in turn, increases the likelihood of failing to reject a false null hypothesis, which is a Type II error. Therefore, there is a trade-off between the probabilities of Type I and Type II errors, and reducing one increases the probability of the other.

Reducing the Probability of a Type I Error, Increases the Probability