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# problemset8solution - PAM 2100 Spring 2009 Problem set#8...

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Spring 2009 Problem set #8 Answer Key #1) A national survey of restaurant employees found that 80% said that work stress had a negative impact on their personal lives. A sample of 100 employees of a restaurant chain finds that 72 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?” Is this good reason to think that the proportion of all employees of this chain who would say “Yes” differs from the national proportion p 0 = 0.80? Perform this test: H 0 : p = 0.80 H a : p 0.80 a) What is the z value? Ans. 2 100 ) 8 . 0 1 ( 8 . 0 8 . 0 72 . 0 - - - = z (2 points) b) What is the P-value of the z-value? P=2*P(Z≥2)=2*(1-.9772)=0.0456 (2 points) c) Do you reject the H 0 at the 5% level? Ans. The p-value=0.0456<.05, so we reject the null hypothesis. (1 point) #2) One possible effect of air pollution is genetic damage. A study designed to examine this problem exposed one group of mice to air near a steel mill and another group to air in a rural area and compared the numbers of mutations in each group. Here are the data:

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• Spring '08
• ABDUS,S.
• Null hypothesis, Statistical hypothesis testing, decimal places, negative impact, Row variable, national proportion p0

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problemset8solution - PAM 2100 Spring 2009 Problem set#8...

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