Chi Square Analysis Statistics Homework Help

Suppose the local state university wants to determinewhether there is a relationship between a student’s gender and a student’smajor in college. The registrar was asked to randomly select 55 students andrecord their gender and major. The majors were grouped into categories ofNatural Science (NS), Social Sciences (SS), and Humanities (H). Answer thefollowing questions based on the results in the table below.

NS

SS

H

Total

Men

11

9

3

23

Women

9

13

10

32

Total

20

22

13

55

Part I:

1. Determine the expected frequency for each of the cellswithin the table.

2. Compute the sample chi-square statistic from thecontingency table.

3. Conduct a chi-square test of independence to determinewhether there is a relationship between gender and college majors. Show all ofyour work to support your chi-square test.

4. What conclusion can be determined from the results of thechi-square test?

Part II:

Suppose we are only interested in the college majors of thewomen in our study. We would like to compare our sample to the nationalpercentage of women majoring in each of the categories (NS, SS, and H) anddetermine whether the sample distribution fits the national distribution.Suppose the national percentage of women majoring in Natural Sciences is 22%,majoring in Social Sciences is 28%, and majoring in the Humanities is 30%.

NS

SS

H

Total

Women

9

13

10

32

1. Conduct a chi-square goodness-of-fit test to determinewhether our sample data fits the national distribution. Show all of your workto support your chi-square test.

2. What conclusion can be determined from the results of thechi-square test?

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