Approximately 2 percent of women ages 40-50 have breast cancer. A woman has a 92 percent chance of a positive test from a mammogram given she has breast cancer (a true positive result). A woman has a 15 percent chance of a positive test from a mammogram given she does not have breast cancer (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places. Positive test result Negative test result Total Has breast cancer Does not have breast cancer Total What is the probability a woman has breast cancer given that she just had a positive test? Give answer as decimals to 4 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.
Type I Error & Type II Error:
When a hypothesis test is done, and if we reject the null hypothesis in the place but we have to fail to reject the null hypothesis is the Type I Error. Similarly when you have to reject fail to reject the null hypothesis but have to reject the null hypothesis is the Type II Error.
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