Answered: Workers at a private business was given…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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:

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.

Expected counts are printed below observed counts
A
в
Total
12
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 = ???

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