A market research firm has come up with two coupon designs that could be inserted into the envelopes that go out with the monthly statement to credit card customers. The coupons offer the customer an opportunity to become a member of a travel club. The research firm is interested in estimating the difference in proportion of customers who will join the club after receiving one or the other of the two coupons. To obtain this estimate, the research firm has sent out coupon design 1 to a random sample of 100 customers. A second random sample of 100 customers received coupon 2. For the first coupon, 11 customers joined the travel club, while 15 customers who received coupon 2 joined. Based upon this sample information, develop and interpret the desired 95 percent confidence interval estimate.
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