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

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

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Type I and Type II errors are not complementary events. $\alpha$ is the probability of a Type I error, and $\beta$ is the probability of a Type II error. They are independent probabilities and do not sum 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 $\alpha = P$