3. Suppose a particular test for whether someone has been using cannabis is 91% sensitive, meaning the true positive rate = 0.91. Therefore it leads to 91% true positive results (correct identification of drug use) for cannabis users and 9% false negatives. The test is also 82% specific, meaning the true negative rate 0.82. Therefore the test correctly identifies 82% of non-users as non-users, but also generates 18% false positives. Assuming 0.04 prevalence (frequency), meaning 4% of people in the general population use cannabis, what is the
3. Suppose a particular test for whether someone has been using cannabis is 91% sensitive, meaning the true positive rate = 0.91. Therefore it leads to 91% true positive results (correct identification of drug use) for cannabis users and 9% false negatives. The test is also 82% specific, meaning the true negative rate 0.82. Therefore the test correctly identifies 82% of non-users as non-users, but also generates 18% false positives. Assuming 0.04 prevalence (frequency), meaning 4% of people in the general population use cannabis, what is the
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
![3. Suppose a particular test for whether someone has been using cannabis is 91% sensitive,
meaning the true positive rate 0.91. Therefore it leads to 91% true positive results (correct
identification of drug use) for cannabis users and 9% false negatives. The test is also 82%
specific, meaning the true negative rate 0.82. Therefore the test correctly identifies 82% of
non-users as non-users, but also generates 18% false positives. Assuming 0.04 prevalence
(frequency), meaning 4% of people in the general population use cannabis, what is the
probability that a random person who tests positive is really a cannabis user?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F148796a3-5460-4a70-8f96-7f7264a4402a%2Fbfee444a-56fb-48fb-8c81-d5747b18c289%2Fkq31ixx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Suppose a particular test for whether someone has been using cannabis is 91% sensitive,
meaning the true positive rate 0.91. Therefore it leads to 91% true positive results (correct
identification of drug use) for cannabis users and 9% false negatives. The test is also 82%
specific, meaning the true negative rate 0.82. Therefore the test correctly identifies 82% of
non-users as non-users, but also generates 18% false positives. Assuming 0.04 prevalence
(frequency), meaning 4% of people in the general population use cannabis, what is the
probability that a random person who tests positive is really a cannabis user?
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