A psychology student wonders if underclass students (freshmen and sophomores) differ in their vegetable preference from upper-class students (juniors and seniors). She randomly samples students and asks them their preferred vegetable among four choices: carrots, green beans, corn, and spinach. Of the 123 underclass students sampled, 40 prefer carrots, 32 prefer green beans, 43 prefer corn, and 8 prefer spinach. Of the 77 upper-class students sampled, 38 prefer carrots, 10 prefer green beans, 17 prefer corn, and 12 prefer spinach.

a. What are the two variables in this study?

b. State the null hypothesis.

c. What is the df for this study?

d. Complete the following table. Fill in the observed frequencies and row and column totals. Use the row and column totals to compute expected frequencies. Put the expected frequencies in parentheses.

e. Calculate χ².

f. Interpret the result at the .01 error level. Can you reject the null hypothesis?

Transcribed Image Text:

Underclass students Upper-class students Carrots Beans Corn Spinach