a thousand men in a cohort for which prostate cancer prevalence is 2.2%. The test we're using for prostate cancer has a sensitivity of 0.6 (gets the diagnosis right 60% of the time if a patient has prostate cancer) specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer) Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.
a thousand men in a cohort for which prostate cancer prevalence is 2.2%. The test we're using for prostate cancer has a sensitivity of 0.6 (gets the diagnosis right 60% of the time if a patient has prostate cancer) specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer) Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.
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
There are a thousand men in a cohort for which prostate cancer prevalence is 2.2%.
The test we're using for prostate cancer has a
- sensitivity of 0.6 (gets the diagnosis right 60% of the time if a patient has prostate cancer)
- specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer)
Fill in the tree with the correct number of patients in each cell, and give the
Probability =
Expert Solution
Step 1
Given:
B+ denotes prostate cancer, B- denotes no prostate cancer,
T+ denotes positive result, T- denotes negative result.
P(B+) = 0.022
P(right diagnosis | B+) = 0.60
P(right diagnosis | B-) = 0.95
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