Type I errors and Type II errors are complementary events so that $\alpha = P$ (Type I error) $=$ $1 - P$ (Type II error $) = 1 - \beta$.

Question

Quizplus · Accepted Answer

Type I errors ($\alpha$) and Type II errors ($\beta$) are not complementary. $\alpha$ is the probability of rejecting a true null hypothesis, while $\beta$ is the probability of failing to reject a false null hypothesis. Their probabilities do not add up to 1.

Type I Errors and Type II Errors Are Complementary Events α=P\alpha = Pα=P

Type I Errors and Type II Errors Are Complementary Events $\alpha = P$