SOLUTION: The test accurately indicates the disease in 98% of the people who have it, and it accurately indicates no disease in 94% of the people who do not have it. What is the false positi

Click here to see ALL problems on Permutations

Question 1196062: The test accurately indicates the disease in 98% of the people who have it, and it accurately indicates no disease in 94% of the people who do not have it. What is the false positive rate (probability of a false positive)?
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

Positive Test Negative Test
Has Disease True Positive False Negative
Does Not Have Disease False Positive True Negative

We're told that The test accurately indicates the disease in 98% of the people who have it
This is the true positive rate.

It means that 98% of the people with the disease got a positive test result.

The remaining 2% of people who have the disease got a negative result. This is known as a false negative.

---------------------------

We're also told that the test accurately indicates no disease in 94% of the people who do not have it which is the true negative rate

The false positive rate is therefore 6% since 100% - 94% = 6%
This is the group of people without the disease, but the test erroneously says they have it.

Answer: 6%