Question

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 \( 63 \% \). The GSR for all students in this division is \( 59 \% \). Complete parts a and \( \mathbf{b} \). a. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from \( 59 \% \) ? Test using \( \alpha=0.01 \). What are the hypotheses for this test? A. \( H_{0}: p=0.59 ; H_{a}: p \neq 0.59 \) B. \( H_{0}: p \neq 0.59 ; H_{a}: p=0.59 \) c. \( H_{0}: p=0.59 ; H_{a}: p<0.59 \) D. \( H_{0}: p=0.59 ; H_{a}: p>0.59 \) Find the rejection region for the test. Choose the correct answer below. A. \( z<-2.575 \) B. \( z<-2.33 \) or \( z>2.33 \) c. \( z>2.575 \) D. \( z>2.33 \) E. \( z<-2.33 \) F. \( z<-2.575 \) or \( z>2.575 \) Calculate the value of the test statistic. \( z= \) \( \square \) (Round to two decimal places as needed.)

          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 \( 63 \% \). The GSR for all students in this division is \( 59 \% \). Complete parts a and \( \mathbf{b} \).
a. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from \( 59 \% \) ? Test using \( \alpha=0.01 \).
What are the hypotheses for this test?
A. \( H_{0}: p=0.59 ; H_{a}: p \neq 0.59 \)
B. \( H_{0}: p \neq 0.59 ; H_{a}: p=0.59 \)
c. \( H_{0}: p=0.59 ; H_{a}: p<0.59 \)
D. \( H_{0}: p=0.59 ; H_{a}: p>0.59 \)

Find the rejection region for the test. Choose the correct answer below.
A. \( z<-2.575 \)
B. \( z<-2.33 \) or \( z>2.33 \)
c. \( z>2.575 \)
D. \( z>2.33 \)
E. \( z<-2.33 \)
F. \( z<-2.575 \) or \( z>2.575 \)

Calculate the value of the test statistic.
\( z= \) \( \square \) (Round to two decimal places as needed.)

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 63 %. The GSR for all students in this division is 59 %. Complete parts a and 𝐛.
a. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 59 % ? Test using α=0.01.
What are the hypotheses for this test?
A. H0: p=0.59 ; Ha: p ≠ 0.59
B. H0: p ≠ 0.59 ; Ha: p=0.59
c. H0: p=0.59 ; Ha: p<0.59
D. H0: p=0.59 ; Ha: p>0.59

Find the rejection region for the test. Choose the correct answer below.
A. z<-2.575
B. z<-2.33 or z>2.33
c. z>2.575
D. z>2.33
E. z<-2.33
F. z<-2.575 or z>2.575

Calculate the value of the test statistic.
z= □ (Round to two decimal places as needed.)

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