Hypothesis Testing (AQA A-Level Mathematics): Flashcards

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Hypothesis Testing
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Critical region definition

Set of xx values that lead to H0H_0 being rejected

Alternative name for critical region

Rejection region

Right tail test: inequality for critical region

P(Xk)P(X \geq k) \leq significance level

Left tail test: probability to check

P(Xk)P(X \leq k) crossing significance level boundary

Two-tailed test at 5%: sig level per tail

0.025 (5% divided by 2)

How to calculate actual significance level

Sum probabilities in both critical regions

When to reject H0H_0 using critical region

When observed value falls in critical region

Right tail List Mode: boundary to find

(1sig level)(1 - \text{sig level}) boundary

Two-tailed critical region format

XaX \leq a or XbX \geq b

Method to find critical region values

Trial and improvement

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