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
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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
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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