99.7% of HIV positive patients get a correct positive test result. 98.5% of those who are HIV negative are correctly tested negative. A clinic estimates that about 10% of the people in their neighborhood actually have HIV. And they offer free testing for these people. What is the probability that a patient tested positive actually carry HIV? Create a contingency table for 10000 hypothetical patients in order to find the probability in question. Write your answer as a decimal rounded to 3 digits
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.
99.7% of HIV positive patients get a correct positive test result. 98.5% of those who are HIV negative are correctly tested negative. A clinic
estimates that about 10% of the people in their neighborhood actually have HIV. And
they offer free testing for these people.
What is the probability that a patient tested positive actually carry HIV? Create a
contingency table for 10000 hypothetical patients in order to find the probability in
question. Write your answer as a decimal rounded to 3 digits.
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