4) Suppose there is a medical screening procedure for a specific cancer that has sensitivity = 90, and specificity = .95. Suppose the underlying rate of the cancer in the population is .001. Let B be the event "the person has that specific cancer," and let A be the event "the screening procedure gives a positive result." (a) What is the probability that a person has the disease given the results of the screening is positive? (b) Does this show that screening is effective in detecting this cancer?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
4) Suppose there is a medical screening procedure for a specific cancer that has sensitivity =
90, and specificity = .95. Suppose the underlying rate of the cancer in the population is
001. Let B be the event "the person has that specific cancer," and let A be the event "the
screening procedure gives a positive result.
(a) What is the probability that a person has the disease given the results of the screening
is positive?
(b) Does this show that screening is effective in detecting this cancer?
%3D
Transcribed Image Text:4) Suppose there is a medical screening procedure for a specific cancer that has sensitivity = 90, and specificity = .95. Suppose the underlying rate of the cancer in the population is 001. Let B be the event "the person has that specific cancer," and let A be the event "the screening procedure gives a positive result. (a) What is the probability that a person has the disease given the results of the screening is positive? (b) Does this show that screening is effective in detecting this cancer? %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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