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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 3-4.00.
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.
Hypotheses:
H0: There is ______ between the general population and the college prep students in GPA.
H1: There is ______ between the general population and the college prep students in GPA.
Select the best fit choices that fit in the two blank spaces above.
– A. no difference, a difference
– B. a difference, no difference
– C. no difference, no difference
– D. a difference, a difference
 
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