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

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?

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