Question 255008: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive.
(a) Construct a 95 percent confidence interval for the population proportion of positive drug tests.
(b) Why is the normality assumption not a problem, despite the very small value of p?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive.
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(a) Construct a 95 percent confidence interval for the population proportion of positive drug tests.
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sample proportion = 1143/86,991 = 0.0131
standard error = 1.96*sqrt(0.0131*0.9869/86991) = 0.00076..
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95% CI: 0.0131-0.00076 < p < 0.0131+0.00076
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(b) Why is the normality assumption not a problem, despite the very small value of p?
The sample size is high.
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Cheers,
Stan H.
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