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Unformatted text preview: Chapter 22 Notes Examples Page 1 of 2 Example We believe that the true proportion of all USC students from South Carolina is greater than 0.71. H : p = 0.71 H a : p > 0.71 In a sample of 100 students, 80 are from South Carolina. 80 . 100 80 = = p 02 . value p So, if we took many samples and p = 0.71, we would get results this far or farther from p = 0.71 roughly 2% of the time. We have good evidence against H (and in favor of H a ). So, we would reject the null hypothesis and conclude that the true proportion of USC students from South Carolina is greater than 0.71. Calculating P-values We conduct hypothesis test under the assumption that H is true. If the claim p = 0.71 were true and we tested many random samples of n = 100 students, the sampling distribution of p would be approximately normal with mean = p = 0.71 and standard deviation = 0454 . 100 ) 29 . )( 71 . ( ) 1 ( = n p p Calculating P-values The alternative hypothesis is one-sided (greater than), so the p-value is the probability of getting an...
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This note was uploaded on 06/13/2011 for the course STAT 110 taught by Professor Johnson during the Spring '07 term at South Carolina.
- Spring '07