City officials want to estimate the proportion of visitors who are repeat visitors to the Rideau Canal Skateway. They take a sample of 400 visitors and find that 100 are on a second visit. The 95% confidence interval is
A) 0.2076 to 0.2924
B) 0.1942 to 0.3058
C) 0.2144 to 0.2856
D) 0.1996 to 0.3004
E) 0.2222 to 0.2777

Question

Quizplus · Accepted Answer

The 95% confidence interval for the proportion of visitors who are repeat visitors to the Rideau Canal Skateway is 0.2076 to 0.2924. This interval was calculated using the formula:sample proportion +/- 1.96 * sqrt((sample proportion * (1 - sample proportion)) / sample size)where the sample proportion is 100/400 = 0.25, and the sample size is 400.

City Officials Want to Estimate the Proportion of Visitors Who