Name the random variables present in the table above. 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
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Chapter1: Starting With Matlab
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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
Saies
Accounts Marketing Repairs
Total
20-29
10
27
43
88
17.74
***
26.20
23.62
30-39
29
26
22
38
26.72
23.18
34.24
30.86
40-49
33
32
72
82
219
44.15
50.88
65.20
58.77
50-59
81
106
86
75.97
54
327
65.92
97.36
87.75
Total
151
**
223
201
749
**** +
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
DF = *****, P-Value =
******
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.
CO
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 Saies Accounts Marketing Repairs Total 20-29 10 27 43 88 17.74 *** 26.20 23.62 30-39 29 26 22 38 26.72 23.18 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 50-59 81 106 86 75.97 54 327 65.92 97.36 87.75 Total 151 ** 223 201 749 **** + 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 DF = *****, P-Value = ****** 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. CO
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