For the following question either leave your answer as a fraction or give it to 3 decimal places. Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the test diagnoses correctly every person who has TB. What is the chance that a randomly selected person found to have a positive results actually has the TB?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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For the following question either leave your answer as a fraction or give it to 3 decimal places.
Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive
rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the
test diagnoses correctly every person who has TB. What is the chance that a randomly selected person
found to have a positive results actually has the TB?
Transcribed Image Text:For the following question either leave your answer as a fraction or give it to 3 decimal places. Tuberculosis (TB) affects about 1 in every 10,000 people. A test to detect this disease has a false positive rate of 2% - which is to say that out of every 100 healthy people, two will test positive. Assume that the test diagnoses correctly every person who has TB. What is the chance that a randomly selected person found to have a positive results actually has the TB?
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