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

It assumes no effect or difference exists in the population.

It indicates there is an effect or difference to be tested.

It's the probability of wrongly rejecting $H_0$ when true.

A standardised value derived from sample data for testing.

The probability of observing a result at least as extreme.

The threshold a test statistic must exceed to reject $H_0$.

$z = (\bar{x} - \mu_0) / (\sigma / \sqrt{n})$ from sample data.

$z = \frac{\text{sample mean} - \text{hypothesised mean}}{\text{std dev}/\sqrt{n}}$.

For one-tailed tests, it's approximately $-1.645$ or $1.645$.

There is significant evidence against $H_0$ in the study.