12.38 According to Census Bureau data, in 1998 the California population consisted of 50.7% whites, 6.6% blacks, 30.6% Hispanics, 10.8% Asians, and 1.3% other ethnic groups. Suppose that a random sample of 1000 students graduating from California colleges and universities in 1998 resulted in the accompanying data on ethnic group. These data are consistent with summary statistics contained in the article titled “Crumbling Public School System a Threat to California’s Future (Investor’s Business Daily, November 12, 1999).

Ethnic Group Number in Sample White 679 Black 51 Hispanic 77 Asian 190 Other 3 Do the data provide evidence that the proportion of students graduating from colleges and universities in California for these ethnic group categories differs from the respective proportions in the population for California? Test the appropriate hypotheses using a 5 .01.