The primary determinant of the amount of vacation time U.S. employees receive is their length of service. According to data released by Hewitt Associates, more than 8 of 10 employers provide 2 weeks of vacation after the first year. After 5 years, 75% of employers provide 3 weeks, and after 15 years most provide 4-week vacations. To more accurately estimate p, the proportion of U.S. employers who provide only 2 weeks of vacation to new hires, a random sample of 24 major U.S. companies was contacted. The following vacation times were reported (in days).

a. Construct a 95% confidence interval for p.
b. Is the sample size large enough to ensure that the normal distribution provides a reasonable approximation to the sampling distribution of p? Justify your answer.
c. How large a sample would be required to estimate p to within .02 with 95% confidence?

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