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Chapter06

Chapter06 - Chapter 6 H ypothesis Testing 6.1 Large-Sample...

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Chapter 6. Hypothesis Testing

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6.1 Large-Sample Tests for a Population mean Steps in performing a hypothesis test 1. Define H 0 and H 1 . 2. Assume H 0 to be true. 3. Compute a test statistic . A test statistic is a statistic that is used to assess the strength of the evidence against H 0 . 4. Compute the P -value of the test statistic. The P -value is the probability, assuming H 0 to be true, that the test statistic would have a value whose disagreement with H 0 is as great as or greater than that actually observed. The P -value is also called the observed significance level .
Let X 1 ,…, X n be a large ( n > 30) sample from a population with mean μ and standard deviation σ. To test a null hypothesis of the form H 0 : μ μ 0 , H 0 : μ μ 0 , or H 0 : μ = μ 0 : Compute the z -score: . If σ is unknown it may be approximated with s . Compute the P -value. The P -value is an area under the normal curve , which depends on the alternate hypothesis as follows: Alternate Hypothesis P -value H 1 : μ > μ 0 Area to the right of z H 1 : μ < μ

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Chapter06 - Chapter 6 H ypothesis Testing 6.1 Large-Sample...

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