Direct mail advertisers send solicitations (junk mail) to thousands of potential

Question

Direct mail advertisers send solicitations (junk mail) to thousands of potential customers hoping 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 1,000 randomly selected people. The company gets orders from 111 of the recipients and decides to do a mass mailing list to everyone on its mailing list of over 200,000. Create a 95% confidence interval for the percentage of those people who will order something.

The company is 95% confident that the proportion of people who may buy something is between ___% and ___%.

(Type integers or decimals rounded to one decimal place as needed. Use ascending order.)

Explanation / Answer

Given sample size = 1000; number of success = 111

The 95% confidence interval for the percentage of those people who will order something is 9.2% and 13.1%

Data Sample Size 1000 Number of Successes 111 Confidence Level 95% Intermediate Calculations Sample Proportion 0.111 Z Value -1.95996398 Standard Error of the Proportion 0.00993373 Interval Half Width 0.019469754 Confidence Interval Interval Lower Limit 0.091530246 Interval Upper Limit 0.130469754

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