POLS210
Chi Square Test
1. Do members of different groups have different levels of “narrow-mindedness.” A random sample of 47 white and black Americans have been rated as high or low on a scale that measures intolerance of viewpoints or belief systems different from their own. The results are:
|
|
Group |
|
||
|
White |
Black |
Total |
||
|
Intolerance |
High |
15 |
5 |
20 |
|
Low |
10 |
17 |
27 |
|
|
|
Total |
25 |
22 |
47 |
2. A researcher is concerned with the possible effects of marital status on the academic progress of college students. Do married students, with their extra burden of family responsibilities, suffer academically as compared to unmarried students? (Or: Is academic performance dependent on marital status?) A random sample of 453 students is gathered, and each student is classified as either married or unmarried, and –using GPA as a measure—as a good, average, or poor student. Results are presented in the table below:
|
|
Marital Status |
|
||
|
Married |
Not married |
Total |
||
|
GPA |
Good |
70 |
90 |
160 |
|
Average |
60 |
110 |
170 |
|
|
Poor |
45 |
78 |
123 |
|
|
|
Total |
175 |
278 |
453 |
Answers
1. Chi square(obtained)=6.64
DF=1, Chi square(critical)=3.841
Reject Ho
2. Chi square(obtained)=2.79
DF=1, Chi square(critical)=5.991
Accept Ho