Ray C.

asked • 12/13/20

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 X 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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