It is estimated that approximately 8.26% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
diabetes will correctly diagnose 94.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3.5% of all adults over 40 without diabetes as having the disease. a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").
the estimate of those afflicted with diabetes = 0.0826
the estimate of those that are not afflicted with diabetes = 1 - 0.0826
= 0.9174
From adult with 40
Pr (correct diagnoses) = 0.945
Pr(incorrect diagnoses) = 0.035
The objective that the probability of a randomly selected adult which is over 40 and does not have diabetes, and is diagnosed as having diabetes (false positive) is = 0.9174 × 0.035
