7. A nationwide clothing store company, Zara's, is having its annual half-price sale. As part of their advertising, the company sends out coupons in the mail to households all over the country. The coupons have a scratch-off feature. There are three possible offers on the scratch off coupons: One item half 0 Two items half 0 Three items half 0 The company claims that the distribution of proportions is 60% of the coupons are Offer A, 25% of the coupons are Offer B, and 15% of the coupons are Offer C. After receiving complaints from customers, a consumer protection group wants to nd out whether Zara's coupon claims are true. The agency hired a volunteer to record a random sample of 200 coupons mailed to people. The observed results are: --0"erC 142 Conduct a chi-square goodnessoft test, with a 5% signicance level, by answering the following: a. State the null and alternative hypotheses. (5 points) b. Compute the value of the chisquare value by completing the following table and writing the nal answer for (round to two decimal places if needed). (5 points) _( Observed - Expected)g Expected c. Use your calculator to nd the associated P-value. (5 points) d. Do you reject or fail to reject the null hypothesis? State your reasoning. (5 points) e. State a nal conclusion in the context of the problem. (5 points)