Ans:
H0:There is no relationship between education and place of residence.
Ha:The education and place of residence are related.
Chi square test for independence:
Observed(fo) | ||||
No college | 4 yr | advanced | Total | |
Urban | 15 | 12 | 8 | 35 |
suburban | 8 | 15 | 9 | 32 |
rural | 6 | 8 | 7 | 21 |
Total | 29 | 35 | 24 | 88 |
Expected(fe) | ||||
No college | 4 yr | advanced | Total | |
Urban | 11.53 | 13.92 | 9.55 | 35 |
suburban | 10.55 | 12.73 | 8.73 | 32 |
rural | 6.92 | 8.35 | 5.73 | 21 |
Total | 29 | 35 | 24 | 88 |
Chi square=(fo-fe)^2/fe | ||||
No college | 4 yr | advanced | Total | |
Urban | 1.04 | 0.26 | 0.25 | 1.56 |
suburban | 0.61 | 0.41 | 0.01 | 1.03 |
rural | 0.12 | 0.01 | 0.28 | 0.42 |
Total | 1.78 | 0.69 | 0.54 | 3.01 |
Test statistic:
Chi square=3.01
df=(3-1)*(3-1)=4
critical chi square value=CHIINV(0.05,4)=9.488
p-value=CHIDIST(3.01,4)=0.5569
As,test statistic is less than critical value,we fail to reject the null hypothesis.
There is not sufficient evidence to conclude that e education and place of residence are related.
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