Question: A researcher is interested in establishing whether a correlation exists between a student’s choice of college major and qualification for the academic honor roll. A random sample of 80 university seniors is selected and categorized on the basis of college major. Of the students selected, 30 are majoring in liberal arts, 30 are in business, and 20 are in education. Of the liberal arts majors, 10 are on the honor roll; of the business majors, 15 are on the honor roll; of the education majors, 10 are on the honor roll. The data base is as follows:

HONORS NO HONORS TOTAL

LIBERAL ARTS 10 20 30

BUSINESS 15 15 30

EDUCATION 10 10 20

80

a. Calculate the chi square.

b. If appropriate, calculate the correlation.