Hypothesis Testing (Normal Distribution) (A Level only) (AQA A-Level Mathematics): Quizzes

To test if a parameter differs from a hypothesised value

With large samples where CLT applies

Assumption of no effect

Assumption of an effect/difference

0.05 or 0.01

Probability of result as extreme, given $H_0$ true

Threshold test statistic must exceed to reject $H_0$

$z = \frac{\bar{x} - \mu_0}{\sigma/\sqrt{n}}$

-1.645

If p-value < $\alpha$