Question

Many companies now use text messaging on cell phones as a means of marketing their products. One way to do this is to send a redeemable discount coupon (called an m-coupon) via a text. The redemption rate of m-coupons—the proportion of coupons redeemed—was the subject of an article in a certain marketing journal. In a two-year study, over 8,000 mall shoppers participated by signing up to receive m-coupons. The researchers were interested in comparing the redemption rates of m-coupons for different products. In a sample of 2,446 m-coupons for products sold at a milkshake store, 84 were redeemed; in a sample of 6,608 m-coupons for products sold at a donut store, 76 were redeemed. Complete parts a through g. a. Compute the redemption rate for the sample of milkshake m-coupons. (Round to three decimal places as needed.) b. Compute the redemption rate for the sample of donut m-coupons. (Round to three decimal places as needed.) c. Give a point estimate, p?? - p??, for the difference between the true redemption rates. Use p?? as the sample proportion of milkshake store m-coupons that have been redeemed and p?? as the sample proportion of donut store m-coupons that have been redeemed. (Round to three decimal places as needed.) d. Form a 90% confidence interval for the difference between the true redemption rates. Give a practical interpretation of the result. The 90% confidence interval is ( , ). (Round to three decimal places as needed.)

          Many companies now use text messaging on cell phones as a means of marketing their products. One way to do this is to send a redeemable discount coupon (called an m-coupon) via a text. The redemption rate of m-coupons—the proportion of coupons redeemed—was the subject of an article in a certain marketing journal. In a two-year study, over 8,000 mall shoppers participated by signing up to receive m-coupons. The researchers were interested in comparing the redemption rates of m-coupons for different products. In a sample of 2,446 m-coupons for products sold at a milkshake store, 84 were redeemed; in a sample of 6,608 m-coupons for products sold at a donut store, 76 were redeemed. Complete parts a through g.

a. Compute the redemption rate for the sample of milkshake m-coupons.
(Round to three decimal places as needed.)

b. Compute the redemption rate for the sample of donut m-coupons.
(Round to three decimal places as needed.)

c. Give a point estimate, p?? - p??, for the difference between the true redemption rates. Use p?? as the sample proportion of milkshake store m-coupons that have been redeemed and p?? as the sample proportion of donut store m-coupons that have been redeemed.
(Round to three decimal places as needed.)

d. Form a 90% confidence interval for the difference between the true redemption rates. Give a practical interpretation of the result.
The 90% confidence interval is ( , ).
(Round to three decimal places as needed.)

Many companies now use text messaging on cell phones as a means of marketing their products. One way to do this is to send a redeemable discount coupon (called an m-coupon) via a text. The redemption rate of m-coupons—the proportion of coupons redeemed—was the subject of an article in a certain marketing journal. In a two-year study, over 8,000 mall shoppers participated by signing up to receive m-coupons. The researchers were interested in comparing the redemption rates of m-coupons for different products. In a sample of 2,446 m-coupons for products sold at a milkshake store, 84 were redeemed; in a sample of 6,608 m-coupons for products sold at a donut store, 76 were redeemed. Complete parts a through g.

a. Compute the redemption rate for the sample of milkshake m-coupons.
(Round to three decimal places as needed.)

b. Compute the redemption rate for the sample of donut m-coupons.
(Round to three decimal places as needed.)

c. Give a point estimate, p?? - p??, for the difference between the true redemption rates. Use p?? as the sample proportion of milkshake store m-coupons that have been redeemed and p?? as the sample proportion of donut store m-coupons that have been redeemed.
(Round to three decimal places as needed.)

d. Form a 90% confidence interval for the difference between the true redemption rates. Give a practical interpretation of the result.
The 90% confidence interval is ( , ).
(Round to three decimal places as needed.)

Added by Carla H.

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