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 64%. The GSR for all students in this division is 61%. Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%? Carry out the test using a Type I error rate of 0.05. What are the hypotheses for this test? O A. Ho: p 0.61 H₂: p=0.61 O C. Ho: p > 0.61 H₂: p≤0.61 Ⓒ E. Ho: p=0.61 H₂: p<0.61 or z> Calculate the value of the z-statistic for this test. z= (Round to two decimal places as needed.) (...) 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.) OA. z< OB. z> OC. z< What is the conclusion of the test? OB. Ho: p=0.61 Ha: p *0.61 O D. Ho: p=0.61 H₂: p > 0.61 O F. Ho: p<0.61 H₂: p=0.61
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 64%. The GSR for all students in this division is 61%. Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%? Carry out the test using a Type I error rate of 0.05. What are the hypotheses for this test? O A. Ho: p 0.61 H₂: p=0.61 O C. Ho: p > 0.61 H₂: p≤0.61 Ⓒ E. Ho: p=0.61 H₂: p<0.61 or z> Calculate the value of the z-statistic for this test. z= (Round to two decimal places as needed.) (...) 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.) OA. z< OB. z> OC. z< What is the conclusion of the test? OB. Ho: p=0.61 Ha: p *0.61 O D. Ho: p=0.61 H₂: p > 0.61 O F. Ho: p<0.61 H₂: p=0.61
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**NCAA Graduation Success Rate (GSR) Hypothesis Testing**
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 64%. The GSR for all students in this division is 61%.
**Problem Statement:**
Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. The task is to determine if this is sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%. The test should be carried out using a Type I error rate of 0.05.
**Hypotheses:**
What are the hypotheses for this test?
- A. \( H_0: p \neq 0.61 \)
\( H_a: p = 0.61 \)
- B. \( H_0: p = 0.61 \)
\( H_a: p \neq 0.61 \)
- C. \( H_0: p > 0.61 \)
\( H_a: p \leq 0.61 \)
- D. \( H_0: p \leq 0.61 \)
\( H_a: p > 0.61 \)
- E. \( H_0: p = 0.61 \)
\( H_a: p < 0.61 \)
- F. \( H_0: p < 0.61 \)
\( H_a: p = 0.61 \)
**Rejection Region:**
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. \( z < \) ____
- B. \( z > \) ____
- C. \( z < \) ____ or \( z > \) ____
**Value of the Z-Statistic:**
Calculate the value of the z-statistic for this test.
\[ z = \] (Round to two decimal places as needed.)
**Conclusion:**
What is the conclusion of the test?
**Time Remaining:**
00:19:12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50bba9ff-e92f-418a-953f-7454e9aa5e30%2Fc7c285f0-6690-4f36-9ad2-659c98ac0911%2Fgvnfwup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**NCAA Graduation Success Rate (GSR) Hypothesis Testing**
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 64%. The GSR for all students in this division is 61%.
**Problem Statement:**
Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. The task is to determine if this is sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%. The test should be carried out using a Type I error rate of 0.05.
**Hypotheses:**
What are the hypotheses for this test?
- A. \( H_0: p \neq 0.61 \)
\( H_a: p = 0.61 \)
- B. \( H_0: p = 0.61 \)
\( H_a: p \neq 0.61 \)
- C. \( H_0: p > 0.61 \)
\( H_a: p \leq 0.61 \)
- D. \( H_0: p \leq 0.61 \)
\( H_a: p > 0.61 \)
- E. \( H_0: p = 0.61 \)
\( H_a: p < 0.61 \)
- F. \( H_0: p < 0.61 \)
\( H_a: p = 0.61 \)
**Rejection Region:**
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. \( z < \) ____
- B. \( z > \) ____
- C. \( z < \) ____ or \( z > \) ____
**Value of the Z-Statistic:**
Calculate the value of the z-statistic for this test.
\[ z = \] (Round to two decimal places as needed.)
**Conclusion:**
What is the conclusion of the test?
**Time Remaining:**
00:19:12
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 12 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman