A disease afflicts 1 person in 1,000 in a population. A test for this disease results in 5% false positives. Assume that a random person is tested for the disease (this person is not selected for the test because there are other symptoms indicating the presence of the disease nor are there any special signs of being disease free). 1. Assume that there are no false negatives from this test. A person tests positive. What is the probability that the person truly has the disease? 2. Now assume that false negatives are 1 person in 100 in a population. What is the probability that the person truly has the disease?
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.
A disease afflicts 1 person in 1,000 in a population. A test for this disease results in 5% false positives. Assume that a random person is tested for the disease (this person is not selected for the test because there are other symptoms indicating the presence of the disease nor are there any special signs of being disease free).
1. Assume that there are no false negatives from this test. A person tests positive. What is the probability that the person truly has the disease?
2. Now assume that false negatives are 1 person in 100 in a population. What is the probability that the person truly has the disease?
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