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=2, Chi square(critical)=5.991

    Accept Ho