A college prep school advertises that their students are more prepared to succeed in college than other schools. To verify this, they categorize GPA's into 4 groups and look up the proportion of students at a state college in each category. They find that 7% have a 0-0. 99, 21% have a 1-1. 99, 37% have a 2-2. 99, and 35% have a 3-4. 00 in GPA. They then take a random sample of 200 of their graduates at the state college and find that 19 has a 0-0. 99, 28 have a 1-1. 99, 82 have a 2-2. 99, and 71 have a 3-4. 0. Can they conclude that the grades of their graduates are distributed differently than the general population at the school? Test at the 0. 05 level of significance.