Homework Help is Here – Start Your Trial Now!
Math
Statistics
The prevalence of a disease in the general population is 0.2%. A diagnostic test is developed that correctly predicts the disease state of a sick person 90% of the time and of a healthy person 95% of the time. a. Draw the Venn diagram for the problem and indicate the number of people out of 10,000 people total that fall into the diagram's four bins. The bins should be defined by disease state (D+/D-) and test result (T/T) where + indicates you have the disease and indicates that you do not. b. What is the probability that a person with a positive test result actually has the disease? c. What is the probability that a person with a negative test result does not have the disease? d. Does the test have practical value for detecting people with the disease and why?

The prevalence of a disease in the general population is 0.2%. A diagnostic test is developed that correctly predicts the disease state of a sick person 90% of the time and of a healthy person 95% of the time. a. Draw the Venn diagram for the problem and indicate the number of people out of 10,000 people total that fall into the diagram's four bins. The bins should be defined by disease state (D+/D-) and test result (T/T) where + indicates you have the disease and indicates that you do not. b. What is the probability that a person with a positive test result actually has the disease? c. What is the probability that a person with a negative test result does not have the disease? d. Does the test have practical value for detecting people with the disease and why?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The prevalence of a disease in the general population is 0.2%. A diagnostic test is developed that correctly predicts the disease state of a sick person 90% of the time and of a healthy person 95% of the time. a. Draw the Venn diagram for the problem and indicate the number of people out of 10,000 people total that fall into the diagram's four bins. The bins should be defined by disease state (D+/D¯) and test result (T+/T) where + indicates you have the disease and indicates that you do not. b. What is the probability that a person with a positive test result actually has the disease? c. What is the probability that a person with a negative test result does not have the disease? d. Does the test have practical value for detecting people with the disease and why?
Transcribed Image Text:The prevalence of a disease in the general population is 0.2%. A diagnostic test is developed that correctly predicts the disease state of a sick person 90% of the time and of a healthy person 95% of the time. a. Draw the Venn diagram for the problem and indicate the number of people out of 10,000 people total that fall into the diagram's four bins. The bins should be defined by disease state (D+/D¯) and test result (T+/T) where + indicates you have the disease and indicates that you do not. b. What is the probability that a person with a positive test result actually has the disease? c. What is the probability that a person with a negative test result does not have the disease? d. Does the test have practical value for detecting people with the disease and why?
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS