The National Collegiate Athletic Association (NCAA) measures the Graduation Success Rate (GSR), which is the percentag
Posted: Wed May 11, 2022 3:38 pm
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%.
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%.