Workers at a private business was given a grade (A, B, C) based on their yearly performance. Thedata was recorded along with the department they belong. The results obtained using MINITAB areshown below:Expected counts are printed below observed counts a) Carefully define the null and alternative hypotheses of the ?2 test of the above table. b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? c) What is the conclusion of this test? Give reasons for your answer. ABTotal127Accounting(12.960)(7.830)(6.210)1710Sales(16.800)(10.150)(8.050)3519118Marketing(18.240)(** )(8.740)38Total482923100Chi-sq =0.0711 +0.0037 +0.1005 +0.0024 +0.0022 +0.0003 +0.0317 +0.0000 +***=0.2746DF??, р-valuе???

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Description: Workers at a private business was given a grade (A, B, C) based on their yearly performance. Thedata was recorded along with the department they belong. The results obtained using MINITAB areshown below:Expected counts are printed below observed coun

1. Null hypothesis H0: The grades are independent of the department of the employee Alternative…

Answered: Workers at a private business was given…

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Workers at a private business was given a grade (A, B, C) based on their yearly performance. The

data was recorded along with the department they belong. The results obtained using MINITAB are

shown below:

Expected counts are printed below observed counts

a) Carefully define the null and alternative hypotheses of the ?2 test of the above table.
b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ???
c) What is the conclusion of this test? Give reasons for your answer.

A
B
Total
12
7
Accounting
(12.960)
(7.830)
(6.210)
17
10
Sales
(16.800)
(10.150)
(8.050)
35
19
11
8
Marketing
(18.240)
(** )
(8.740)
38
Total
48
29
23
100
Chi-sq =
0.0711 +
0.0037 +
0.1005 +
0.0024 +
0.0022 +
0.0003 +
0.0317 +
0.0000 +
***
=0.2746
DF
??, р-valuе
???

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