Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
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
See similar textbooks
icon
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?
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?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS