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Chapter 6: Introduction to Inference

Section 6.4: Error Probabilities and Power

The first two paragraphs of this section are a good summary of this chapter. Read them.

Type I and Type II errors

  Truth about the population
  H0 trueH0 false
Decision based
on sample
Reject H0
Accept H0
Type I errorCorrect decision
Correct decisionType II error

Error probabilities

These probabilities help one decide whether the test is satisfactory.

The probability of a Type I error (i.e., rejecting H0 when it is true) is equal to the significance level, α.

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