A medical research team wished to evaluate a proposed screening for diabetes. The test showed 34 positive results when given to a random sample of 150 individuals free of disease. While it showed 9830 positive results when given to random sample 9850 diabetic patients. Suppose that diabete prevalence in the community is 30%. Find the probability that an individual with a positive screening test will indeed have the disease. a) 0.9998 b) 0.9798 c) 0.6536 d) 0.9566
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 medical research team wished to evaluate a proposed screening for diabetes. The test showed 34 positive results when given to a random sample of 150 individuals free of disease. While it showed 9830 positive results when given to random sample 9850 diabetic patients. Suppose that diabete prevalence in the community is 30%. Find the
a) 0.9998
b) 0.9798
c) 0.6536
d) 0.9566
Step by step
Solved in 4 steps