ose that a new screening test is proposed for the detection of fracture. The prevalence of fracture in the general population is known to be 10%. The test has been investigated in fracture subjects and was found to give positive result in 70% of such cases (sensitivity). When given to subjects without fracture, the test yielded a positive result of 20%. a) What is the proportion (probability) of subjects will actually be found to have fracture with positive test? b) What is the proportion (probability) of subjects will be found to have without fracture with positive test? c) What is the overall rate of positive 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

Suppose that a new screening test is proposed for the detection of fracture. The prevalence of fracture
in the general population is known to be 10%. The test has been investigated in fracture subjects and
was found to give positive result in 70% of such cases (sensitivity). When given to subjects without
fracture, the test yielded a positive result of 20%.
a) What is the proportion (probability) of subjects will actually be found to have fracture with
positive test?
b) What is the proportion (probability) of subjects will be found to have without fracture with
positive test?
c) What is the overall rate of positive test result?

Expert Solution
steps

Step by step

Solved in 3 steps

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
  • SEE MORE 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