Hypothesis Testing and the t-Test (AQA A-Level Further Maths): Flashcards

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Type II Errors and Power
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Type I error in hypothesis testing

Rejecting H0H_0 when it's actually true (false positive)

Type II error in hypothesis testing

Accepting H0H_0 when it's actually false (false negative)

α\alpha in hypothesis testing

Probability of Type I error (equals significance level)

β\beta in hypothesis testing

Probability of Type II error

How to control Type I error probability

Choose the significance level

Relationship between Type I and Type II errors

Inverse - decreasing one increases the other

Power of a hypothesis test

Probability of correctly rejecting a false H0H_0

Formula for power of a test

1β1 - \beta

Three factors that affect test power

True parameter value, sample size, significance level

Effect of lowering significance level on Type II error

Increases Type II error probability (β\beta)

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