The National Collegiate Athletic Association​ (NCAA) measures the Graduation Success Rate​ (GSR), which is the percentag

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The National Collegiate Athletic Association​ (NCAA)
measures the Graduation Success Rate​ (GSR), which is the
percentage of eligible athletes who graduate within six years of
entering college. According to the​ NCAA, the GSR for all
scholarship athletes in a particular division
is 56​%. The GSR for all students in this division
is 60​%. Suppose the NCAA report was based on a sample
of 500 ​student-athletes, of
which 280 graduated within six years. Is this sufficient
information to conclude that the GSR for all scholarship athletes
in this division differs from 60​% Carry out the test
using a Type I error rate of 0.05.
What are the hypotheses for this​ test?
A. H0​: p<0.60 Ha​: p=0.60
B. H0​: p=0.60 Ha​: p>0.60
C. H0​: p>0.60 Ha​: p≤0.60
D. H0​: p≠0.60 Ha​: p=0.60
E. H0: p=0.60 Ha: p≠0.60
F. H0​: p=0.60 Ha​: p<0.60
Part 2
What is the rejection​ region? Select the correct choice
below and fill in the answer​ box(es) to complete your
choice.
​(Round to two decimal places as​ needed.)
A. z< enter your response here or
z> enter your response here
B. z> enter your response here
C. z< enter your response here
Part 3
Calculate the value of the​ z-statistic for this test.
z= enter your response here
​(Round to two decimal places as​ needed.)
Part 4
What is the conclusion of the​ test?
Do not reject/Reject the null
hypothesis because the test statistic is
not/is in the rejection
region.​ Therefore, there is
insufficient/sufficient
evidence at the 0.05 level of significance
to indicate that the GSR for all scholarship athletes in this
division differs from 60​%.