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

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Type II Errors and Power
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What is a Type I error in hypothesis testing?

Rejecting a true null hypothesis

What is a Type II error in hypothesis testing?

Accepting a false null hypothesis

What does α\alpha equal in hypothesis testing?

The significance level

What formula defines the power of a hypothesis test?

1β1 - \beta

What happens to Type II error probability when Type I error probability decreases?

It increases

What happens to Type II error when significance level decreases from 10% to 1%?

Type II error increases substantially

When is the power of a test highest?

True value very different from H0H_0

How does increasing sample size affect Type II errors?

Reduces Type II errors

In medical illness testing, which error should typically be minimised?

Type II (missing real illness)

What should guide the choice of significance level in a test?

Which error has worse consequences

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