3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:3. Five hundred and seventy-four randomly selected men were surveyed to determine
whether there is an association between the age of the men and the size of their vehicle.
The data was inputted into MINITAB for analysis to determine whether size of vehicle is
independent of the age of the men. The following output, exhibit 1, was generated using
MINTAB:
Exhibit 1
Chi-Square Test for Association: Size of vehicle, Age
Rows: Size of vehicle
Columns: Age
Under 30
30-39
Small
45
30.73
6.6246
23
36.29
4.8686
40-49
16
34.24
9.7197
50-59
32
60 and over All
*
0.0801
52 **
36.29
6.7981
Mid-size
37
38.41
0.0521
47
45.37
0.0589
54
42.80
2.9280
39
33 210
38.05
45.37
3.3707
Large
23
35.85
4.6081
54
42.34
3.2101
47
39.95
1.2436
33
35.51
0.1777
39 196
42.34
0.2637
All
105
124
117
104
124 574
Cell Contents:
Count
Chi-Square
=
Expected count
Contribution to Chi-square
44.028, DF = ****, P-Value = 0.000
a) Carefully define the null and alternative hypotheses of the X² test underlying the generation
of the above table.
b) Fill in the missing values '*','**', ‘***' and ‘*****
c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 1 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman