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 '****› [2] [8] c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer. [3] 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 Mid-size 37 38.41 0.0521 36.29 4.8686 47 45.37 0.0589 9.7197 0.0801 16 34.24 50-59 32 * 60 and over All 52 ** 36.29 6.7981 54 42.80 2.9280 39 33 210 38.05 Large 23 35.85 54 42.34 47 39.95 33 All 4.6081 3.2101 1.2436 35.51 0.1777 45.37 3.3707 39 196 42.34 0.2637 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 '****› [2] [8] c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer. [3] 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 Mid-size 37 38.41 0.0521 36.29 4.8686 47 45.37 0.0589 9.7197 0.0801 16 34.24 50-59 32 * 60 and over All 52 ** 36.29 6.7981 54 42.80 2.9280 39 33 210 38.05 Large 23 35.85 54 42.34 47 39.95 33 All 4.6081 3.2101 1.2436 35.51 0.1777 45.37 3.3707 39 196 42.34 0.2637 105 124 117 104 124 574
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![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 '****›
[2]
[8]
c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
[3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4ce690b-6cda-4e09-b0a2-a6c25b41a3bf%2Fa0809274-1fdd-4433-8814-620387b76fb8%2Fah0dmv_processed.png&w=3840&q=75)
Transcribed Image Text: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 '****›
[2]
[8]
c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
[3]
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
Mid-size
37
38.41
0.0521
36.29
4.8686
47
45.37
0.0589
9.7197 0.0801
16
34.24
50-59
32
*
60 and over All
52 **
36.29
6.7981
54
42.80
2.9280
39
33 210
38.05
Large
23
35.85
54
42.34
47
39.95
33
All
4.6081
3.2101
1.2436
35.51
0.1777
45.37
3.3707
39 196
42.34
0.2637
105
124
117
104
124 574
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