Null hypothesis: Ho: gender is independent of education
level
Alternate hypothesis: HA: gender is dependent of education
level
|
degree of freedom(df) =(rows-1)*(columns-1)= |
2 |
|
| for 2 df
and 0.05 level of signifcance critical
region      χ2= |
5.991 |
| Applying
chi square test of independence: |
|
|
|
Expected |
Ei=row total*column
total/grand total |
High school |
Bachelors |
Masters |
Total |
|
|
female |
31.30 |
56.92 |
55.78 |
144 |
|
|
male |
23.70 |
43.08 |
42.22 |
109 |
|
|
total |
55 |
100 |
98 |
253 |
|
|
|
|
|
|
|
|
chi square   χ2 |
=(Oi-Ei)2/Ei |
High school |
Bachelors |
Masters |
Total |
|
|
female |
0.0543 |
0.1670 |
0.0567 |
0.2781 |
|
|
male |
0.0718 |
0.2206 |
0.0749 |
0.3673 |
|
|
total |
0.1261 |
0.3876 |
0.1316 |
0.6454 |
|
|
|
|
|
|
|
| test
statistic X2 = |
0.645 |
|
|
|
Decision:as test statistic is not in critical region, we fail to
reject null hypothesis
Conclusion: we can not conclude that gender is not independent
of education level
