This question asks you to extend the medical-test example from class. Suppose there is a medical condition that afflicts 20% of the population. There is a test for this condition, and the reliability of this test can be characterized as follows: false-positive rate = 10% for those who do not have the condition, 10% will test positive. false-negative rate = 5% for those who have the condition, 5% will test neg- ative. (a) If you receive a positive test result, what is the likelihood that you have the condition? If you receive a negative test result, what is the likelihood that you do not have the condition? (b) Repeat part (a), except now assume that the false-positive rate is 5% and the false-negative rate is 10%.
This question asks you to extend the medical-test example from class. Suppose there is a medical condition that afflicts 20% of the population. There is a test for this condition, and the reliability of this test can be characterized as follows: false-positive rate = 10% for those who do not have the condition, 10% will test positive. false-negative rate = 5% for those who have the condition, 5% will test neg- ative. (a) If you receive a positive test result, what is the likelihood that you have the condition? If you receive a negative test result, what is the likelihood that you do not have the condition? (b) Repeat part (a), except now assume that the false-positive rate is 5% and the false-negative rate is 10%.
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
![This question asks you to extend the medical-test example from class. Suppose there is a medical
condition that afflicts 20% of the population. There is a test for this condition, and the reliability
of this test can be characterized as follows:
• false-positive rate = 10%
for those who do not have the condition, 10% will
test positive.
for those who have the condition, 5% will test neg-
• false-negative rate = 5%
ative.
(a) If you receive a positive test result, what is the likelihood that you have the condition?
If you receive a negative test result, what is the likelihood that you do not have the condition?
(b) Repeat part (a), except now assume that the false-positive rate is 5% and the false-negative
rate is 10%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed21f68c-99ee-4403-9cc6-3c9e5c63d2ab%2F3595d5da-ae2a-487b-81f8-bf0cacf8e53e%2Fylrie2p_processed.png&w=3840&q=75)
Transcribed Image Text:This question asks you to extend the medical-test example from class. Suppose there is a medical
condition that afflicts 20% of the population. There is a test for this condition, and the reliability
of this test can be characterized as follows:
• false-positive rate = 10%
for those who do not have the condition, 10% will
test positive.
for those who have the condition, 5% will test neg-
• false-negative rate = 5%
ative.
(a) If you receive a positive test result, what is the likelihood that you have the condition?
If you receive a negative test result, what is the likelihood that you do not have the condition?
(b) Repeat part (a), except now assume that the false-positive rate is 5% and the false-negative
rate is 10%.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman