In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to have been gaged in safety and security-related jobs, and...

In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to have been gaged 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?