Question

Direct mail advertisers send solicitations​ ("junk mail") to thousands of potential customers in the hope that some will buy the​ company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 11501150 people randomly selected from their mailing list of over​ 200,000 people. They get orders from 114114 of the recipients.


Create a 90​% confidence interval for the percentage of people the company contacts who may buy something.