The pamphlet uses a clever diagram to represent the possible outcomes of a PSA test with their respective frequencies: True positive False negative False positive True negative A FIGURE 10.9 Kaiser Permanente's outcome diagram of 100 PSA tests. Each dot represents the result of one PSA test. a. The Kaiser diagram is reproduced in Figure 1 below. Use this diagram to find the probabilities of a true-positive, a false-positive, a false-negative, and a true-negative. b. What is the positive predictive value (PPV) of the test? That is, what is the conditional probability that a randomly screened patient has prostate cancer, given that he receives a positive PSA test result?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
The pamphlet uses a clever diagram to represent the possible outcomes of a PSA test with their
respective frequencies:
True positive
False negative
False positive
True negative
A FIGURE 10.9 Kaiser Permanente's outcome diagram of
100 PSA tests. Each dot represents the result of one PSA test.
a. The Kaiser diagram is reproduced in Figure 1 below. Use this diagram to find the probabilities
of a true-positive, a false-positive, a false-negative, and a true-negative.
b. What is the positive predictive value (PPV) of the test? That is, what is the conditional
probability that a randomly screened patient has prostate cancer, given that he receives a positive
PSA test result?
Transcribed Image Text:The pamphlet uses a clever diagram to represent the possible outcomes of a PSA test with their respective frequencies: True positive False negative False positive True negative A FIGURE 10.9 Kaiser Permanente's outcome diagram of 100 PSA tests. Each dot represents the result of one PSA test. a. The Kaiser diagram is reproduced in Figure 1 below. Use this diagram to find the probabilities of a true-positive, a false-positive, a false-negative, and a true-negative. b. What is the positive predictive value (PPV) of the test? That is, what is the conditional probability that a randomly screened patient has prostate cancer, given that he receives a positive PSA test result?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON