pose a 15 minute rapid antigen test for the SARS-CoV-2 virus is 80.2% effective in detecting the virus when it is present. However, the test also yields a false positive 8% of the time. Assume that 3.39% of people living in Queens, New York has the virus. If a person living in Queens takes the test and the test comes back positive (meaning the test has detected the virus), then what is the probability this person actually has the virus? (If needed, round to four decimal places).
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Suppose a 15 minute rapid antigen test for the SARS-CoV-2 virus is 80.2% effective
in detecting the virus when it is present. However, the test also yields a false positive 8% of
the time. Assume that 3.39% of people living in Queens, New York has the virus. If a person
living in Queens takes the test and the test comes back positive (meaning the test has detected
the virus), then what is the probability this person actually has the virus? (If needed, round
to four decimal places).
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