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  1. AP Statistics
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What are the differences between Type I and Type II errors?

Type I: Reject true null (false positive), probability α. | Type II: Fail to reject false null (false negative), probability β.

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What are the differences between Type I and Type II errors?

Type I: Reject true null (false positive), probability α. | Type II: Fail to reject false null (false negative), probability β.

What are the differences between Power and β?

Power: Probability of correctly rejecting a false null. | β: Probability of failing to reject a false null.

Explain the concept of Type I error.

Concluding there is an effect when there isn't. Probability is α.

Explain the concept of Type II error.

Failing to detect a real effect. Probability is β.

Explain the concept of Power.

The probability of correctly rejecting a false null hypothesis; detecting a real effect.

Explain how increasing sample size affects power.

Larger samples provide more information and reduce variability, making it easier to detect a true effect, thus increasing power.

Explain how increasing significance level (α) affects the probability of Type II error (β).

Increasing α increases the chance of rejecting H₀, even if it's false, thus decreasing β.

What is a Type I error?

Rejecting a true null hypothesis (false positive).

What is a Type II error?

Failing to reject a false null hypothesis (false negative).

What is power of a test?

The probability of correctly rejecting a false null hypothesis.

What is significance level (α)?

The probability of making a Type I error.

What is β (beta)?

The probability of making a Type II error.