There are a thousand men in a cohort for which prostate cancer prevalence is 2.1%. The test we're using for prostate cancer has a sensitivity of 0.8 (gets the diagnosis right 80% of the time if a patient has prostate cancer) specificity of 0.85 (gets the diagnosis right 85% 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. Probability =
There are a thousand men in a cohort for which prostate cancer prevalence is 2.1%. The test we're using for prostate cancer has a sensitivity of 0.8 (gets the diagnosis right 80% of the time if a patient has prostate cancer) specificity of 0.85 (gets the diagnosis right 85% 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. Probability =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
There are a thousand men in a cohort for which prostate cancer prevalence is 2.1%.
The test we're using for prostate cancer has a
- sensitivity of 0.8 (gets the diagnosis right 80% of the time if a patient has prostate cancer)
- specificity of 0.85 (gets the diagnosis right 85% 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 =
Transcribed Image Text:1000
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B
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T+
T
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Expert Solution
Step 1
Given ,
Prevalence =P(patient has prostate cancer) = P( B+ )2.1% = 0.021
P(patient does not have prostate cancer) =P( B- )1 - 0.021 = 0.979
sensitivity =P( positive test | patient has prostate cancer ) =P( T+ | B+ ) = 0.8
specificity = P( Negative test | patient dose not prostate cancer )=P( T- | B- ) = 0.85
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