A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample​ data?   Number of Cigarettes Smoked Per Day   0 1-14 15-34 35 and over Wear Seat Belts 150 27 44 6 Don't Wear Seat Belts 151 21 45 8

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample​ data?
 
Number of Cigarettes Smoked Per Day
  0 1-14 15-34 35 and over
Wear Seat Belts 150 27 44 6
Don't Wear Seat Belts 151 21 45 8
 
 
(a) Determine the null and alternative hypotheses.
 
A.
H0​: Heavy smokers are not less likely than​ non-smokers to wear a seat belt.
H1​: Heavy smokers are less likely than​ non-smokers to wear a seat belt.
 
B.
H0​: Heavy smokers are less likely than​ non-smokers to wear a seat belt.
H1​: Heavy smokers are not less likely than​ non-smokers to wear a seat belt.
 
C.
H0​: The amount of smoking is independent of seat belt use.
H1​: The amount of smoking is not independent of seat belt use.
 
D.
H0​: The amount of smoking is dependent upon seat belt use.
H1​: The amount of smoking is not dependent upon seat belt use.
 
 
(b) Determine the test statistic.
 
χ2=?
​(Round to three decimal places as​ needed.)
 
 
(c) Determine the​ P-value of the test statistic.
 
​P-Value=?
​(Round to three decimal places as​ needed.)
 
(d) Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample​ data?
 
A. There is not sufficient evidence to reject the claim that heavy smokers are less likely than​ non-smokers to wear a seat belt. The theory is supported by the sample data.
 
B. There is sufficient evidence to reject the claim that heavy smokers are less likely than​ non-smokers to wear a seat belt. The theory is supported by the sample data.
 
C. There is not sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data.
 
D. There is sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use. The theory is not supported by the sample data.
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman