b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table.
b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table.
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
Need help with B.
![The human resource manager at a car dealership wants to know if the ages of its employees are
related to the department that they work in. Data was compiled and tabulated in a 2-way
contingency table. The employees were classified according to their age and department.
Expected counts are printed below observed counts
Sales
Accounts Marketing Repairs
Total
20-29
8
10
27
43
88
17.74
***
26.20
23.62
30-39
29
26
38
22
23.18
26.72
34.24
30.86
40-49
33
32
72
82
219
44.15
50.88
65.20
58.77
50-59
81
106
86
54
327
65.92
75.97
97.36
5ר. 87
Total
151
749
*
223
201
Chi-Sq
5.348 +
****
+
0.024 + 15.912 +
1.459 +
0.019 +
0.413 +
2.544 +
2.816 +
7.003 +
0.709 +
9.182 +
3.448 + 11.875 +
1.325 + 12.983 = 80.395
*****, P-Value
DF =
*****
No cells with expected counts less than 5.
a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test
underlying the generation of the above table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd7cea-78f4-4d28-88a8-b7cf4ef4a80b%2F8f9bbece-505d-4d7e-9056-b717b96f016a%2Fhltqd1_processed.png&w=3840&q=75)
Transcribed Image Text:The human resource manager at a car dealership wants to know if the ages of its employees are
related to the department that they work in. Data was compiled and tabulated in a 2-way
contingency table. The employees were classified according to their age and department.
Expected counts are printed below observed counts
Sales
Accounts Marketing Repairs
Total
20-29
8
10
27
43
88
17.74
***
26.20
23.62
30-39
29
26
38
22
23.18
26.72
34.24
30.86
40-49
33
32
72
82
219
44.15
50.88
65.20
58.77
50-59
81
106
86
54
327
65.92
75.97
97.36
5ר. 87
Total
151
749
*
223
201
Chi-Sq
5.348 +
****
+
0.024 + 15.912 +
1.459 +
0.019 +
0.413 +
2.544 +
2.816 +
7.003 +
0.709 +
9.182 +
3.448 + 11.875 +
1.325 + 12.983 = 80.395
*****, P-Value
DF =
*****
No cells with expected counts less than 5.
a) Name the random variables present in the table above.
b) Carefully define the null and alternative hypotheses of the Chi Square test
underlying the generation of the above table.
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