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. Age 21-34 35 and over Less than tw weeks 59 0 41 Length of smoking cessation period Between two weeks and one year 144 0 66 0 210 At least one year 57 33 90 Total 260 *140 400 X 3
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. Age 21-34 35 and over Less than tw weeks 59 0 41 Length of smoking cessation period Between two weeks and one year 144 0 66 0 210 At least one year 57 33 90 Total 260 *140 400 X 3
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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.
Age
21-34
35 and over
Total
Less than two
weeks
59
41
Length of smoking cessation period
Between two
weeks and one
year
144
100
66
0
210
At least one year
57
33
90
Total
260
*140
400
X
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