Fast-food restaurants are always looking for ways to cut down on expenses. Believe it or not, such restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. (Such a change also puts the restaurants in a more environmentally friendly position.) Papel Paper Products, a major paper company hoping to infiltrate the restaurant supply market, is considering pitching the smaller-napkin idea to potential restaurant clients.

To determine the receptiveness of different restaurants to the idea, Papel surveyed 400 fast-food establishments chosen at random, and looked at the data according to two variables: type of fast-food restaurant ("burger/sandwich", "Chinese/Mexican", or "other") and attitude toward the smaller-napkin idea ("receptive" or "not receptive.")

The data are summarized in the contingency table below. Each of the 6 cells of the table contains three numbers: the first number is the observed cell frequency (fO); the second number is the expected cell frequency (fE) under the assumption that the two variables type of fast-food restaurant and attitude toward the smaller-napkin idea are not associated; and the third number is the following value.

( SO - SE ) ? (Observed cell frequency - Expected cell frequency) JE Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your SE values to three or more decimal places. Send data to Excel Type of fast-food restaurant X 15 Burger / Chinese Sandwich Mexican Other Total 122 66 Receptive 129.79 257 Attitude 0.468 toward 29 80 34 smaller- napkin idea Not 72.22 143 receptive OO ).838 Total 98 202 100 400 Part 2 Answer the following to summarize the test of the hypothesis that the two variables type of fast-food restaurant and attitude toward the smaller-napkin idea are not associated. For your test, use the 0.05 level of significance. (a) Determine the type of test statistic to use. X ? Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round to two or more decimal places.) (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) (d) Can we conclude that the variables type of fast-food restaurant and attitude toward the smaller-napkin idea are associated? Use the 0.05 level of significance. Yes No