A rare disease occurs in about 1 out of 1000 people who are similar to you. A test for the disease has sensitivity of 95% and specificity of 90%.
a. Create a hypothetical one hundred thousand table illustrating this situation, where the row categories are disease (yes, no) and the column categories are test results (positive, negative).
b. Draw a tree diagram for this situation.
c. Using the table from part (a) or the tree diagram from part (b), find the proportion of people who will test positive for the disease.
d. Find the probability that you actually have the disease given that your test results are positive.