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Unformatted text preview: Type I error: Rejecting H 0 when it is true. Type II error: Failing to reject H when it is false. α=P(type I error) = P(reject H when H is true) P-value is smallest level of significance that would lead to rejection of H . 1) Parameter of interest 2) Null Hypothesis 3) Alternative Hypothesis 4) Test statistic 5) Reject H0 if… 6) Computations 7) Conclusions Inference on the mean of a population, variance known Random sample size n, normally distributed. P-value: for two-sided. 1-sided = 1-Φ(Z ) when µ > µ o , or Φ(Z ) when µ < µ . Reject α if z is > z α/2 or z is < z α/2 and fail to reject if –z α2 <= z <= z α/2 (two-sided). } Critical For one-sided, reject if z > z a (µ > µ ), reject if z < -z a (µ < µ ). } regions! Probability of Type II Error for Two-Sided Alternative Hypothesis on the Mean, Variance Known For One-sided: Sample Size for Two-Sided Alternative Hypothesis on the Mean, Variance Known , where Z β = and For One-sided: Confidence Interval on the Mean, Variance Known Sample Size for a Specified E on the Mean, Variance Known...
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- Spring '06
- Normal Distribution, Statistical hypothesis testing, 1 degrees