Quality of Tests (Edexcel A-Level Further Mathematics): Quizzes

When $H_0$ is rejected but it is true

When we fail to reject $H_0$ but it is false

Probability of a Type I error

Probability of a Type II error

$1 - \beta$

Probability of correctly rejecting $H_0$ when $H_1$ true

$\alpha$ increases and $\beta$ decreases

$\alpha$ decreases and $\beta$ increases

$P(\text{Reject } H_0 | \theta)$

Split equally between both tails