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handout9 - Hypothesis Tests An Introduction Hypothesis Test...

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Hypothesis Tests: An Introduction Hypothesis Test about μ : σ Not Known Hypothesis Test about a Population proportion: Large Samples Two Hypotheses Rejection and Non-rejection Regions Two Types of Errors Tails of a Test General Test Procedures Two Types of Errors Deﬁnition (Type I Error) A Type I error occurs when a true null hypothesis is rejected. The value of α represents the probability of committing this type of error, that is, α = P ( H 0 is rejected | H 0 is true ) The true value of α represents the signiﬁcance level of the test. Deﬁnition (Type II Error) A type II error occurs when a false null hypothesis is not rejected. The value of β represents the probability of committing a Type II error. That is, β = P ( H 0 is not rejected | H 0 is false ) The value of 1 - β is called the power of the test. It represents the probability of not making a Type II error. Mann E6
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This note was uploaded on 02/05/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.

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handout9 - Hypothesis Tests An Introduction Hypothesis Test...

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