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") andattitude 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 variablestype of fast-food restaurantandattitude toward the smaller-napkin ideaare not associated; and the third number is the following value.

=fOfE2fEObservedcellfrequencyExpectedcellfrequency2Expectedcellfrequency

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

fOfE2fE

values to three or more decimal places.

Send data to Excel

		Type of fast-food restaurant
		Burger / Sandwich	Chinese / Mexican	Other	Total
Attitude toward smaller-napkin idea	Receptive	55	118 123.36 0.233	84	257
Not receptive	40	74 68.64 0.419	29	143
Total	95	192	113	400

Part 2

Answer the following to summarize the test of the hypothesis that the two variablestype of fast-food restaurantandattitude toward the smaller-napkin ideaare not associated. For your test, use the

0.10

level of significance.

(a)Determine the type of test statistic to use.Type of test statistic: (Choose one)
(b)Find the value of the test statistic. (Round to two or more decimal places.)
(c)Find thep-value. (Round to three or more decimal places.)
(d)Can we conclude that the variablestype of fast-food restaurantandattitude toward the smaller-napkin ideaare associated? Use the 0.10 level of significance. Yes No