Fast-food restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. Papel Paper Products 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 (f); the second number is the expected cell frequency (f) 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. (fo-fe)² (Observed cell frequency - Expected cell frequency)² Expected cell frequency The numbers labeled "Total" are totals for observed frequency.

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ISBN:9781119256830
Author:Amos Gilat
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Fast-food restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. Papel Paper
Products 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 (f); the second number is the expected cell frequency (f) 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.
(fo-fE² (Observed cell frequency - Expected cell frequency)²
fE
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Transcribed Image Text:Fast-food restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. Papel Paper Products 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 (f); the second number is the expected cell frequency (f) 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. (fo-fE² (Observed cell frequency - Expected cell frequency)² fE Expected cell frequency The numbers labeled "Total" are totals for observed frequency.
Attitude
toward
smaller-
napkin idea
Receptive
Not
receptive
Total
Burger /
Sandwich
65
35
0
100
Type of fast-food restaurant
Chinese /
Mexican
131
79
0
210
Other
42
53.55
2.491
48
36.45
3.660
90
Total
238
162
400
Transcribed Image Text:Attitude toward smaller- napkin idea Receptive Not receptive Total Burger / Sandwich 65 35 0 100 Type of fast-food restaurant Chinese / Mexican 131 79 0 210 Other 42 53.55 2.491 48 36.45 3.660 90 Total 238 162 400
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