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.

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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

 

  1. a) Carefully define the null and alternative hypotheses of the ?2 test of the above table. 
  2. b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? 
  3. 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
???
Transcribed Image Text: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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