Find the Chi-Square critical value and test statistic. Hence, conduct a Chi-Square test of association at 5% level of significance clearly stating your decision and conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained.

Table 2: Cross tabulation of employee grade and level of absenteeism

 

Contingency Tables

 

Grade

 

LAbsence

 

1

2

3

Total

low

 

Observed

 

8

 

1

 

0

 

9

 

 

Expected

 

2.90

 

3.48

 

2.61

 

9.00

 

high

 

Observed

 

2

 

11

 

9

 

22

 

 

Expected

 

7.10

 

8.52

 

6.39

 

22.00

 

Total

 

Observed

 

10

 

12

 

9

 

31

 

 

Expected

 

10.00

 

12.00

 

9.00

 

31.00

 
 

2.4 Find the Chi-Square critical value and test statistic. Hence, conduct a Chi-Square test of association at 5% level of significance clearly stating your decision and conclusion. 

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