Answer the following questions using what you know about categorical data calculations and percents. Give complete answers with justifications. It is not acceptable to simply state a number.

	art	science	engineering	education
gender female	35	15	5	25
male	19	40	20	20

I: Numerical Comparisons: a. How would you describe the SHAPE of the table? Think Matrix Dimension (do not include headers)! b. How would you edit the table to be more useful? What is missing in order to convert raw counts to percents? Explain. C. Among male students, what percent are majoring in engineering subjects? d. Among education majors, what percent are males? e. What percent of students are majoring in science? f. What are the marginal distributions by gender? (Choose either male or female.) g. Do you think that gender and choice of major are related or NOT? Give statistical evidence to support your claim. I. Graphical Comparisons One way to display categorical data is through the use of pie charts. This problem requires TWO pie charts, one for each gender. Create and comment on those gender pie charts. What features are evident in the graphs?

Ill. Formula Method:

Given the formula for EXPECTED counts in any cell to be row total * column total Expected Frequency = total of all

Pick any cell and use your findings to either confirm or reject your previous statement.

Explain.