A new diagnostic test is developed to determine if a patient has influenza. To determine if the test is effective, a large number of people who visit a doctor over a period of time are tested. Roughly 5% of people test positive for the flu with the new test. From the people who test positive, it is subsequently determined with more accurate blood tests that 90% of them actually have the flu. From the people who test negative with the new test, it is subsequently determined that 1% of them have the flu. Calculate the risk ratio of having the flu between the groups who test positive and negative, and interpret the value in the context of the study.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A new diagnostic test is developed to determine if a patient has influenza. To determine if the test is effective, a large number of people who visit a doctor over a period of time are tested. Roughly 5% of people test positive for the flu with the new test. From the people who test positive, it is subsequently determined with more accurate blood tests that 90% of them actually have the flu. From the people who test negative with the new test, it is subsequently determined that 1% of them have the flu.

Calculate the risk ratio of having the flu between the groups who test positive and negative, and interpret the value in the context of the study.

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