ClairLinx Wireless, a start-up cell phone company, is trying to decide if it should market specific phone service plans to specific groups of customers. ClairLinx divides its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed 500 potential customers (chosen at random) and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"   So, there are two variables being considered: type of potential customer ("single, working"; "married, working"; or "retired") and choice of service plan feature ("free calls to other customers", "free nights and weekends", or "free long-distance and roaming").   Each of the 500 potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of this table are 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 potential customer and choice of service plan feature are not related; and the third number is the following value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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ClairLinx Wireless, a start-up cell phone company, is trying to decide if it should market specific phone service plans to specific groups of customers. ClairLinx divides its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed 500 potential customers (chosen at random) and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"

 

So, there are two variables being considered: type of potential customer ("single, working"; "married, working"; or "retired") and choice of service plan feature ("free calls to other customers", "free nights and weekends", or "free long-distance and roaming").

 

Each of the 500 potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of this table are 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 potential customer and choice of service plan feature are not related; and the third number is the following value.

Send data to Excel
Choice of service plan feature
Free calls to Free nights
Free long-
other
and
distance and
Total
customers
weekends
roaming
25
43
89
Single,
working
47.10
157
0.357
33
65
96
Married,
Турe of
37.25
58.20
98.55
194
working
potential
customer
0.485
0.795
0.066
38
42
69
Retired
44.70
149
0.163
Total
96
150
254
500
Part 2
Transcribed Image Text:Send data to Excel Choice of service plan feature Free calls to Free nights Free long- other and distance and Total customers weekends roaming 25 43 89 Single, working 47.10 157 0.357 33 65 96 Married, Турe of 37.25 58.20 98.55 194 working potential customer 0.485 0.795 0.066 38 42 69 Retired 44.70 149 0.163 Total 96 150 254 500 Part 2
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