Tests concerning a Population Proportion

Tests concerning a Population Proportion - Tests concerning...

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Unformatted text preview: Tests concerning a Population Proportion Background: Large Sample Tests Common large sample test statistics have form Z = . is the estimator for the population parameter of interest. is the expected value under the Null Hypothesis. is standard deviation of the estimator (or an estimate of it) Binomial proportion: parameter The foundation for the test is the unbiased estimator . above so Null Hypothesis: Test statistic value: z = Valid provide Alternative Hypothesis Rejection Region Large Sample Obesity example The Associate Press (Oct 9, 2002) reported in a sample of 4115 American adults, 1276 were found to be obese (body mass index > 30 kg/m 2 ). # Body mass index calculation # BMI = ( weight(lbs) / height(inches)**2 ) * 703(conversion factor) 28.1 = ( 190 / 69**2 ) * 703 Test the null hypothesis that proportion of the American adults that is obese is .3 versus the alternative that proportion greater than .3 using a significance level of .10. Steps 1. p = proportion of American adults that are obese. 2. 3. 4. Since and the large sample test statistic can be used....
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Tests concerning a Population Proportion - Tests concerning...

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