Question Two 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 2.1 State the appropriate measurement scales for the variables. 2.2 State the null and alternative hypotheses. 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism. 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.
Question Two
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
|
|
|||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
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 |
||||||
2.1 State the appropriate measurement scales for the variables.
2.2 State the null and alternative hypotheses.
2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism.
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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