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 40-49 Small 45 23 30.73 6.6246 36.29 4.8686 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 *** Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 35.51 0.1777 33 45.37 3.3707 42.34 0.2637 39 196 All 105 124 117 104 124 574 Cell Contents: Count Expected count Contribution to Chi-square 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 40-49 Small 45 23 30.73 6.6246 36.29 4.8686 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 *** Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 35.51 0.1777 33 45.37 3.3707 42.34 0.2637 39 196 All 105 124 117 104 124 574 Cell Contents: Count Expected count Contribution to Chi-square 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
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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
40-49
Small
45
23
30.73
6.6246
36.29
4.8686
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
***
Large
23
35.85
4.6081
54
42.34
3.2101
47
39.95
1.2436
35.51
0.1777
33
45.37
3.3707
42.34
0.2637
39
196
All
105
124
117
104
124
574
Cell Contents:
Count
Expected count
Contribution to Chi-square
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.
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