A high school principal wanted to know if racial makeup of her teachers mirrored that of student body. The student body broke down into 47% White, 28% Latino, 15% African American, and 10% other. Of 65 teachers, 42 were White, four were Latino, 15 were African American, and four were Other. Do such results suggest that the racial makeup of faculty members is different from that of the students? (Use the .05 significance level.)
A. Employ the five steps of hypothesis testing and discuss your findings show all work