A study of swab test for COVID-19 in the United Kingdom found that they had a false negative rate between 2 and 33%. This is in part because the test is more sensitive a certain time after infection. The false positive rate was between 0.8 and 4%. For the purposes of this problem, let's assume that the false negative rate is 15% and the false positive rate is 2%. The current positivity rate in NYC is 6%which gives us an estimate of the prevalence (fraction of NYC residents with COVID). a) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they have COVID-19? b) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they do not have COVID-19? c) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they do not have COVID-19? d) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they have COVID-19?
A study of swab test for COVID-19 in the United Kingdom found that they had a false negative rate between 2 and 33%. This is in part because the test is more sensitive a certain time after infection. The false positive rate was between 0.8 and 4%. For the purposes of this problem, let's assume that the false negative rate is 15% and the false positive rate is 2%. The current positivity rate in NYC is 6%which gives us an estimate of the prevalence (fraction of NYC residents with COVID). a) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they have COVID-19? b) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they do not have COVID-19? c) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they do not have COVID-19? d) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they have COVID-19?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A study of swab test for COVID-19 in the United Kingdom found that they had a false negative rate between 2 and 33%. This is in part because the test is more sensitive a certain time after infection. The false positive rate was between 0.8 and 4%. For the purposes of this problem, let's assume that the false negative rate is 15% and the false positive rate is 2%. The current positivity rate in NYC is 6%which gives us an estimate of the prevalence (fraction of NYC residents with COVID).
a) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they have COVID-19?
b) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they do not have COVID-19?
c) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they do not have COVID-19?
d) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they have COVID-19?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman