Among the literature on quitting smoking are data detailing the relative successfulness of people of different ages in quitting smoking. A study of 400 adults who began various smoking-cessation programs produced the data in the table below. In the table, each participant is classified according to two variables: length of their smoking cessation period ("Less than two weeks", "Between two weeks and one year", or "At least one year") and age ("21-34", or "35 and over"). In the table, "less than two weeks" means that the individual returned to smoking within two weeks of beginning the program; "between two weeks and one year" means that the individual lasted the first two weeks without smoking but retuned to smoking within a year; and "at least one year" means that the individual has not smoked for at least a year since beginning the program. The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers. In addition, three of the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, age and length of the smoking cessation period, are independent. Round your answers to two or more decimal places. Send data to Excel 21-34 Length of smoking cessation period Less than two weeks Between two weeks and one At least one Total year year 52 125 66 243 ☐ 44 71 42 Age 35 and over 157 ☐ ☐ Total 96 96 196 108 400

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Among the literature on quitting smoking are data detailing the relative successfulness of people of different ages in quitting smoking. A study of
400 adults who began various smoking-cessation programs produced the data in the table below. In the table, each participant is classified
according to two variables: length of their smoking cessation period ("Less than two weeks", "Between two weeks and one year", or "At least one
year") and age ("21-34", or "35 and over"). In the table, "less than two weeks" means that the individual returned to smoking within two weeks of
beginning the program; "between two weeks and one year" means that the individual lasted the first two weeks without smoking but retuned to
smoking within a year; and "at least one year" means that the individual has not smoked for at least a year since beginning the program.
The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers. In addition, three of
the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, age and length of
the smoking cessation period, are independent.
Round your answers to two or more decimal places.
Send data to Excel
21-34
Length of smoking cessation period
Less than two
weeks
Between two
weeks and one
At least one
Total
year
year
52
125
66
243
☐
44
71
42
Age
35 and over
157
☐
☐
Total
96
96
196
108
400
Transcribed Image Text:Among the literature on quitting smoking are data detailing the relative successfulness of people of different ages in quitting smoking. A study of 400 adults who began various smoking-cessation programs produced the data in the table below. In the table, each participant is classified according to two variables: length of their smoking cessation period ("Less than two weeks", "Between two weeks and one year", or "At least one year") and age ("21-34", or "35 and over"). In the table, "less than two weeks" means that the individual returned to smoking within two weeks of beginning the program; "between two weeks and one year" means that the individual lasted the first two weeks without smoking but retuned to smoking within a year; and "at least one year" means that the individual has not smoked for at least a year since beginning the program. The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers. In addition, three of the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, age and length of the smoking cessation period, are independent. Round your answers to two or more decimal places. Send data to Excel 21-34 Length of smoking cessation period Less than two weeks Between two weeks and one At least one Total year year 52 125 66 243 ☐ 44 71 42 Age 35 and over 157 ☐ ☐ Total 96 96 196 108 400
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