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

To determine if a population parameter differs from a hypothesised value

Large sample sizes where Central Limit Theorem applies

The assumption that there is no effect or no difference

The assumption that there is an effect or a difference

Probability of rejecting $H_0$ when it is actually true

0.05 (5%) or 0.01 (1%)

Probability of obtaining a result at least as extreme as observed, assuming $H_0$ is true

Threshold that the test statistic is compared against to decide whether to reject $H_0$

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

Reject $H_0$ if p-value < significance level