Suppose we know 20% of the population has disease A, and the accuracy rate of diagnostic test for disease A is 90%, that is 90% of those who have disease A will receive a positive test result. We also know that 95% of the individuals without disease A will receive an accurate negative result. Given that Simon receives a negative result for disease A, what is the probability that he has the disease A?
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 we know 20% of the population has disease A, and the accuracy rate of diagnostic test for disease A is 90%, that is 90% of those who have disease A will receive a positive test result. We also know that 95% of the individuals without disease A will receive an accurate negative result.
Given that Simon receives a negative result for disease A, what is the
Let A be an event that Simon has disease and B be an event that the test result is positive.
So, AC is the event that Simon does not has the disease and BC be the event that the test result is negative.
Here,
P(A) =0.2
P(AC)=1-0.2=0.8
P() = 0.9
P(0.95
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