College X is concerned about their employees making use of their email for non-business purposes. You have been approached to assist in this matter. College X decides on a 95% confidence level and state that the estimation proportion must be within 2 percent of the population proportion. A pilot survey reveals that 8 out of 50 emails sampled were not for business purposes. How many emails should be surveyed to meet your requirements?
A) 1,291
B) 707
C) 498
D) 2,230
E) 1,000

Question

Quizplus · Accepted Answer

To determine the sample size, use the formula for sample size estimation for proportions: n = (Z^2 * p * (1-p)) / E^2. Here, Z is the Z-score for a 95% confidence level (1.96), p is the sample proportion (8/50 = 0.16), and E is the margin of error (0.02). Plugging in these values gives n ≈ 1,291.

College X Is Concerned About Their Employees Making Use of Their