question #3 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 B C Total 12 8 7 Accounting (12.960) (7.830) (6.210) * 17 10 8 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 = ??, p-value = ??? 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.
question #3
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 B C Total
12 8 7
Accounting (12.960) (7.830) (6.210) *
17 10 8
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 = ??, p-value = ???
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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