Question

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").

Answer 1

Answer:

0.032109

Step-by-step explanation:

From the given information

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

= 0.032109