Suppose that the manufacturer of a home-based rapid antigen COVID test claims to be 90% accurate. Data indicates that about 10% of residents in a certain county have COVID. 1. Fill in the table with the expected results for 1,000 residents taking this test. Round each to the nearest whole number. Has COVID | Does NOT Total have COVID Test positive for COVID Test negative for COVID Total 2. What percentage of residents will test positive? 3. Of those who actually have COVID, how many would we expect to test negative? Explain the significance of this result.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that the manufacturer of a home-based
rapid antigen COVID test claims to be 90%
accurate. Data indicates that about 10% of residents
in a certain county have COVID.
1. Fill in the table with the expected results for 1,000
residents taking this test. Round each to the nearest
whole number.
Has COVID
Does NOT
Total
have
COVID
Test positive
for COVID
Test
negative for
COVID
Total
2. What percentage of residents will test positive?
3. Of those who actually have COVID, how many
would we expect to test negative? Explain the
significance of this result.
4. Suppose a resident tests positive for COVID.
According to the expected results, how likely is it that
they actually have COVID? Explain the significance
of this result.
Transcribed Image Text:Suppose that the manufacturer of a home-based rapid antigen COVID test claims to be 90% accurate. Data indicates that about 10% of residents in a certain county have COVID. 1. Fill in the table with the expected results for 1,000 residents taking this test. Round each to the nearest whole number. Has COVID Does NOT Total have COVID Test positive for COVID Test negative for COVID Total 2. What percentage of residents will test positive? 3. Of those who actually have COVID, how many would we expect to test negative? Explain the significance of this result. 4. Suppose a resident tests positive for COVID. According to the expected results, how likely is it that they actually have COVID? Explain the significance of this result.
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Suppose that the manufacturer of a home-based rapid antigen COVID test claims to be 90% accurate.

Data indicates that about 10% of residents in a certain county have COVID.

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