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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 Pvalues 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 Pvalues The alternative hypothesis is onesided (greater than), so the pvalue 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
 JOHNSON

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