A random sample of 100 former student-athletes are picked from each of the 10 colleges in California that they attended. Students are surveyed about whether or not they feel they received a quality education while participating in athletics with possible responses of "Excellent," "Very Good," "Satisfactory," "Not satisfactory," or "Very Unsatisfactory." A 5x10 table of counts is generated. Which of the following is the most appropriate test to determine whether there is a difference among these schools as to the student-athlete perception of having received a quality education?

A chi-square test of homogeneity of proportions

A chi-square test for goodness-of-fit

A multiple-populationz-test of proportions

A multiple-samplez-test of proportions

A chi-square test of independence