# 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

Algebra ->  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      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 257402: 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(57214)   (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. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. sample proportion = 1143/86991 = 0.01314 standard error = 1.96*sqrt[0.01314*0.98696/86991] = 0.00038609 --- 95% CI: 0.01314-0.00038609 < p < 0.01314+0.00038509 ------------------------ (b) Why is the normality assumption not a problem, despite the very small value of p? Ans: n is large enough ============================ Cheers, Stan H.