City officials want to estimate the proportion of visitors who are repeat visitors to the Rideau Canal Skateway. From previous experience they believe the proportion is not larger than 20 percent. They want to estimate the proportion to within ± 0.04 percentage points with 95 percent confidence. The sample size they should use is
A) 385
B) 601
C) 97
D) 10
E) 248

Question

Quizplus · Accepted Answer

To determine the sample size for estimating a proportion with a given margin of error and confidence level, the formula is n = (Z^2 * p * (1-p)) / E^2. For 95% confidence, Z is 1.96. Assuming p = 0.20, E = 0.04, the calculation gives approximately 385.

City Officials Want to Estimate the Proportion of Visitors Who