Question

Unwanted calls (including illegal and spoofed robocalls) are the FCC's top consumer complaint. The United States is the 8th most spammed country in the world, and the annoying calls are on the rise according to a new report.

Suppose that a spammer is testing a scheme to get people to buy something over the phone and getting the “customer” to provide credit card information. He wants to test his scheme in the following way. He has hacked another company’s customer list containing all 200,000 of its customers’ phone numbers. He randomly calls 1,000 of these customers, and he is able to get 123 of the called customers to reveal their credit card information.

Create a 90% confidence interval for the true proportion p for all 200,000 customers on his list who might reveal credit card information if in fact he decides to call all 200,000 of them. Be sure to check all necessary assumptions and conditions. Please show all work.

Answer 1

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