In the beginning of May 2020, the Public Health Agency in Sweden (Folkhälsomyndigheten) estimated that 1% of the population had been infected by the corona virus, and decided to create an antibody test. Research showed that if a person has antibodies, the test will give a positive result (i.e. indicate that the person has antibodies) with probability 99 %. Also, if a person does not have antibodies, the test will give a negative result (i.e. indicate that the person does not have antibodies) with probability 98 %. a) What proportion of all tests will give a positive result? b) If a person gets a positive test result, what is the probability that the person has antibodies?

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
In the beginning of May 2020, the Public Health Agency in Sweden (Folkhälsomyndigheten)
estimated that 1% of the population had been infected by the corona virus, and decided to create
an antibody test.
Research showed that if a person has antibodies, the test will give a positive result (i.e. indicate
that the person has antibodies) with probability 99 %. Also, if a person does not have antibodies,
the test will give a negative result (i.e. indicate that the person does not have antibodies) with
probability 98 %.
a) What proportion of all tests will give a positive result?
b) If a person gets a positive test result, what is the probability that the person has antibodies?
Transcribed Image Text:In the beginning of May 2020, the Public Health Agency in Sweden (Folkhälsomyndigheten) estimated that 1% of the population had been infected by the corona virus, and decided to create an antibody test. Research showed that if a person has antibodies, the test will give a positive result (i.e. indicate that the person has antibodies) with probability 99 %. Also, if a person does not have antibodies, the test will give a negative result (i.e. indicate that the person does not have antibodies) with probability 98 %. a) What proportion of all tests will give a positive result? b) If a person gets a positive test result, what is the probability that the person has antibodies?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
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