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 50-59 60 and over All Small 45 30.73 6.6246 23 36.29 4.8686 16 34.24 9.7197 32 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 39 33 210 38.05 2.9280 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 45.37 3.3707 39 196 42.34 0.2637 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 '88* c) Using a = 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 50-59 60 and over All Small 45 30.73 6.6246 23 36.29 4.8686 16 34.24 9.7197 32 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 39 33 210 38.05 2.9280 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 45.37 3.3707 39 196 42.34 0.2637 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 '88* c) Using a = 5%, what is the conclusion of this test? Give reasons for your answer.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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
50-59
60 and over All
Small
45
30.73
6.6246
23
36.29
4.8686
16
34.24
9.7197
32
0.0801
52 **
36.29
6.7981
Mid-size
37
38.41
0.0521
47
45.37
0.0589
54
42.80
39
33 210
38.05
2.9280
Large
23
35.85
4.6081
54
42.34
3.2101
47
39.95
1.2436
33
35.51
0.1777
45.37
3.3707
39 196
42.34
0.2637
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 '88*
c) Using a = 5%, what is the conclusion of this test? Give reasons for your answer.
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