A prospective college student was interested in whether the school he had chosen to attend was as racially diverse as the three-county region surrounding it. He found census data and school data regarding the racial diversity of the counties and the university. The census data indicated that the region was 15% Asian, 48% black, and 37% white. Assume that the accepted freshman class at the target university totals 1042 and that 729 students self-identify as white, 202 as black, and 111 as Asian. Perform the six steps of hypothesis testing using a chi-square test for goodness of fit to determine whether the distribution of students at this university reflects the racial diversity of the region.