23. A study was conducted to see if teenagers work longer hours to pay for newer cars. A random sample of teenagers was taken and the number of hours each worked was recorded along with the age of the car that each usually drove. The table below shows the results from the study. Age of car usually driven-Test Hours worked per Less than week Under 15 15-25 Over 25 4 7 36 28 4-8 8 17 17 Over 8 14 16 17 X² = 8.25774 p=0.08258 df = 4 Test the hypothesis that the age of the car driven is associated with the number of hours worked per week, using a significance level of 0.10. Choose the correct decision regarding the null hypothesis and decision. Refer to the computer output above.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Question 23
23. A study was conducted to see if teenagers work longer hours to pay for newer cars. A
random sample of teenagers was taken and the number of hours each worked was recorded
along with the age of the car that each usually drove. The table below shows the results from
the study.
Age of car usually driven
Hours worked per Less than
week
Under 15
15-25
Over 25
4
7
36
28
4-8 Over 8
8
17
17
14
16
17
x² -Test
X² = 8.25774
p=0.08258
df = 4
Test the hypothesis that the age of the car driven is associated with the number of
hours worked per week, using a significance level of 0.10. Choose the correct decision
regarding the null hypothesis and decision. Refer to the computer output above.
Transcribed Image Text:23. A study was conducted to see if teenagers work longer hours to pay for newer cars. A random sample of teenagers was taken and the number of hours each worked was recorded along with the age of the car that each usually drove. The table below shows the results from the study. Age of car usually driven Hours worked per Less than week Under 15 15-25 Over 25 4 7 36 28 4-8 Over 8 8 17 17 14 16 17 x² -Test X² = 8.25774 p=0.08258 df = 4 Test the hypothesis that the age of the car driven is associated with the number of hours worked per week, using a significance level of 0.10. Choose the correct decision regarding the null hypothesis and decision. Refer to the computer output above.
A) Fail to reject the null hypothesis; age of car usually driven is associated with
number of hours worked per week
B) Reject the null hypothesis; age of car usually driven is associated with number of
hours worked per week
C) Fail to reject the null hypothesis; age of car usually driven is not associated with
number of hours worked per week
D) Reject the null hypothesis; age of car usually driven is not associated with number of hours
worked per week
Transcribed Image Text:A) Fail to reject the null hypothesis; age of car usually driven is associated with number of hours worked per week B) Reject the null hypothesis; age of car usually driven is associated with number of hours worked per week C) Fail to reject the null hypothesis; age of car usually driven is not associated with number of hours worked per week D) Reject the null hypothesis; age of car usually driven is not associated with number of hours worked per week
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