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lecture10 - Psych 100A Winter 2010 Lecture Lecture 10...

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Psych 100A Winter 2010 ecture 0: ypothesis testing & Lecture 10: Hypothesis testing & Power Analysis 1. Test for , known 2. Computation of power 3. Relationships among , power and n ower curves 4. Power curves
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HT: notations and definitions (continued) 12.Tests of significance are about one question and that question is always the same: “How easy is it to explain the difference between the observed data (sample statistic) and the expected outcome (H O ) by chance alone.” 2
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3. Theorem: hypothesis test for , 2 known If x 1 , x 2 , …, x n is a random sample from a normal population or a large random sample from ny population with nown variance then do any population with known variance 2 , then do O H  : A  . 1 : versus . 3 . 2 n x z TS : . 2 . 1 : if reject CR error I type 2 . 3 3
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Example (Kuzma). Boys of a certain age have a mean weight of 85 lb. A complaint was made that, in a municipal children’s home, the boys are underfed. As one bit of evidence, all 25 boys of a given age were weighed and lb. 94 . 80 x Suppose it is known that = 11.6 lb . At a significance level = 0.05 , what do you conclude about the complaint? 4
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Solution. 1. H O : = 85 lb versus H A : < 85 lb. 2. Data: lb. 94 . 80 x 3. Assumptions: RS of 25 boys a. SRS of 25 boys b. Weights normally distributed c. = 11.6 lb.
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lecture10 - Psych 100A Winter 2010 Lecture Lecture 10...

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