SOLUTION: 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) C

Algebra ->  Probability-and-statistics -> SOLUTION: 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) C      Log On


   



Question 139126: 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) About Me  (Show Source):
You can put this solution on YOUR website!
a) I ran a 1-PropZInt test on a TI calculator to get the following interval
0.01238 < p < 0.0139
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b) While p is small, the population is very large so np and nq
> 5 is a reasonable assumption.
Cheers,
Stan H.