Question

Assume alpha= .05 & beta=.75

If the null is really true, what is the probability that the statistical decision will be to fail to reject the null?

Answer 1

When the null hypothesis is true, with an alpha of 0.05, the probability of correctly failing to reject the null hypothesis is 95%.

Step-by-step explanation:

If we assume alpha = .05 and beta = .75, the probability that we will fail to reject the null hypothesis when the null hypothesis is actually true is the complement of alpha. The value of alpha represents the probability of making a Type I error, which is rejecting a true null hypothesis. Therefore, if alpha is 0.05, the probability of correctly failing to reject the null hypothesis, also known as the confidence level, is 1 - alpha, which equals 0.95 or 95%.