Consider the following screening test for cancer applied to 100,000 people of whom 100 have cancer. Each test costs $6.50, picks up 75% of cancer cases., and additionally, 12% of the time, falsely diagnoses cancer. Detection of cancer (rightly or wrongly) leads to a further exact diagnostic test that costs $100. Correct early detection of cancer by the test is valued at $10,000

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
Problem 47PS
icon
Related questions
Question

Consider the following screening test for cancer applied to 100,000 people of whom 100 have cancer. Each test costs $6.50, picks up 75% of cancer cases., and additionally, 12% of the time, falsely diagnoses cancer. Detection of cancer (rightly or wrongly) leads to a further exact diagnostic test that costs $100. Correct early detection of cancer by the test is valued at $10,000

 

What is the marginal benefit of doing the test?

 

What are the marginal costs of doing the test?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning