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Intermediate Proof

Type I and Type II Errors: The Risks of Inference

Students frequently conflate β \beta (the probability of failing to reject H0 H_0 when H1 H_1 is true) with the p-value. Remember: the p-value is a conditional probability under the assumption that H0 H_0 is true, whereas β \beta involves the distribution of the alternative hypothesis.
Institutional Reference: Statistical Inference I
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