Homework Help is Here – Start Your Trial Now!
Math
Statistics
This is a Statistics problem. Please explain each step thoroughly.  The problem I'm having issues with is shown below: Suppose there is a new test that detects whether people have a disease. If a person has the disease, then the test correctly identifies that person as being sick 99.9 percent of the time (the sensitivity of the test). If a person does not have the disease, then the test correctly identifies the person as being well 97 percent of the time (the specificity of the test). Suppose that 2 percent of the population has the disease. Find the probability that a randomly selected person has the disease given that they test positive for the disease.

This is a Statistics problem. Please explain each step thoroughly.  The problem I'm having issues with is shown below: Suppose there is a new test that detects whether people have a disease. If a person has the disease, then the test correctly identifies that person as being sick 99.9 percent of the time (the sensitivity of the test). If a person does not have the disease, then the test correctly identifies the person as being well 97 percent of the time (the specificity of the test). Suppose that 2 percent of the population has the disease. Find the probability that a randomly selected person has the disease given that they test positive for the disease.

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

This is a Statistics problem. Please explain each step thoroughly. 

The problem I'm having issues with is shown below:

Suppose there is a new test that detects whether people have a disease. If a person has the disease, then the test correctly identifies that person as being sick 99.9 percent of the time (the sensitivity of the test). If a person does not have the disease, then the test correctly identifies the person as being well 97 percent of the time (the specificity of the test). Suppose that 2 percent of the population has the disease. Find the probability that a randomly selected person has the disease given that they test positive for the disease.

Suppose there is a new test that detects whether people have a disease. If a person has the disease, then the test correctly identifies that person as being sick 99.9 percent of the time (the sensitivity of the test). If a person does not have the disease, then the test correctly identifies the person as being well 97 percent of the time (the specificity of the test). Suppose that 2 percent of the population has the disease. Find the probability that a randomly selected person has the disease given that they test positive for the disease.
Transcribed Image Text:Suppose there is a new test that detects whether people have a disease. If a person has the disease, then the test correctly identifies that person as being sick 99.9 percent of the time (the sensitivity of the test). If a person does not have the disease, then the test correctly identifies the person as being well 97 percent of the time (the specificity of the test). Suppose that 2 percent of the population has the disease. Find the probability that a randomly selected person has the disease given that they test positive for the disease.
Expert Solution
Step 1

Solution

Statistics homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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