I would really appreciate it if you can also explain as much as possible for thi

Question

I would really appreciate it if you can also explain as much as possible for this problem. Thanks

D Another test for Condition X has a false positive rate of only 1%. A patient, Wilbur, gets this test and the result is positive. Wilbur says "Doc, that sounds grim. Do have only a 1% chance here?". As a medical professional, what do you tell Wilbur about the interpretation of the false positive rate? Can you sketch a few alternative scenarios for him to give him an objective idea for what it means?

Explanation / Answer

Probability that the test gives positive when the patient does not have the disease= 0.01

In other words,out of 100 patients who do not have the disease, the the test will show positive for only 1 patient.

So, when the test results positive, there is a probability of 0.01 that Wilbur does not have the disease.

Alternative scenario: Suppose a student sits for an examination. The examiner has false success rate of 1%. This means, if a student fails in the exam, there is 1% chance that the examiner will consider him as passed. In other words, out of 100 students who failed in the exam, only 1 student will be granted pass marks by the examiner and other 99 students will be considered as failed candidates.

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