A market research company is interested in the percentage of all customers to a department store that visit the shoe department.They conduct a survey and finds that 79 out of 384 customers visit the shoe department.Calculate a 98% confidence interval for the true proportion all customers to a department store that visit the shoe department.
A)[.165,.246]
B)[.179,.232]
C)[.142,.269]
D)[.153,.259]
E)[.158,.254]

Question

Quizplus · Accepted Answer

The sample proportion is 79/384. Using the formula for a confidence interval for a proportion, and a Z-score for 98% confidence level, the interval is calculated as approximately [.158, .254].

A Market Research Company Is Interested in the Percentage of All