Question

True or false:

Alpha and Beta are inversely related, meaning as one goes up the other goes down.

Answer 1

The type I error is the probability of rejecting a true null hypothesis while Type II error is the probability of not rejecting a false null hypothesis. As we increase the power of the test, that is the null hypothesis getting rejected more easily, the probability of type II error clearly decreases as we are rejecting the null hypothesis more often than not rejecting it. But at the same time the probability of type I error also increases.

Therefore The given statement is True here. Alpha and Beta which are type I and Type II errors respectively are inversely related. As one increases the other decreases.