a) What is the false positive rate of the home test? b) What is the positive predictive value of the home test? c) What is the false negative rate of the home test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
3. Home Covid-19 tests have the advantage of being fast and cheap, but they are not always perfect.
Sometimes people who have Covid will test negative, and people who do not have Covid will test
positive. In January of 2021, the CDC posted a paper entitled “Evaluation of Abbott BinaxNOW
rapid antigen test for SARS-CoV-2 infection at two community-based testing sites-Pima County,
Arizona, November 3-17, 2020" in which the authors tested participants using BinaxNOW home tests,
and then again using PCR, which returns a much more accurate result. For the purposes of this
homework, we will consider the PCR result the ground truth (i.e. if a PCR result is negative, we can
assume the person does not have a Covid-19 infection). Below is the data from their study:
Positive BinaxNOW home test
Negative BinaxNOW home test
Total
Positive PCR
(has Covid-19)
157
142
299
Negative PCR
(does not have Covid-19)
4
3,116
3,120
NOW
The following questions are about the performance of the
population of individuals at community-based testing sites in Pima County:
a) What is the false positive rate of the home test?
b) What is the positive predictive value of the home test?
c) What is the false negative rate of the home test?
d) What is the negative predictive value of the home test?
test
Total
161
3,258
3,419
this particular
e) Suppose you take a BinaxNOW home test, and it comes back negative. Which of the four values
above is the most relevant for your situation, and why?
Transcribed Image Text:3. Home Covid-19 tests have the advantage of being fast and cheap, but they are not always perfect. Sometimes people who have Covid will test negative, and people who do not have Covid will test positive. In January of 2021, the CDC posted a paper entitled “Evaluation of Abbott BinaxNOW rapid antigen test for SARS-CoV-2 infection at two community-based testing sites-Pima County, Arizona, November 3-17, 2020" in which the authors tested participants using BinaxNOW home tests, and then again using PCR, which returns a much more accurate result. For the purposes of this homework, we will consider the PCR result the ground truth (i.e. if a PCR result is negative, we can assume the person does not have a Covid-19 infection). Below is the data from their study: Positive BinaxNOW home test Negative BinaxNOW home test Total Positive PCR (has Covid-19) 157 142 299 Negative PCR (does not have Covid-19) 4 3,116 3,120 NOW The following questions are about the performance of the population of individuals at community-based testing sites in Pima County: a) What is the false positive rate of the home test? b) What is the positive predictive value of the home test? c) What is the false negative rate of the home test? d) What is the negative predictive value of the home test? test Total 161 3,258 3,419 this particular e) Suppose you take a BinaxNOW home test, and it comes back negative. Which of the four values above is the most relevant for your situation, and why?
Expert Solution
Step 1

AS PER GUIDELINES I HAVE CALCULATED FIRST 3 SUBPARTS .

Here given result of covid test using PCR and BinaxNow home test.

 

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

D) What is the negative predictive value of the home test?

E)Suppose you take a BinaxNOW home test and it comes back negative. Which of the four values above is the most relevant for your situation and why?

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman