Marilyn Mahadeo
asked on
Statistics
A clinic offers you a free test for a very rare, but hideous disease. The test they offer is very reliable. If you have the disease it has a 98% chance of giving a positive result, and if you don’t have the disease, it has only a 1% chance of giving a positive result. You decide to take the test, and find that you test positive. What is the probability that you have the disease?
Assume the prevalence of the disease is one case per million people.
If one million people take the test, how many TRUE Positives will there be?
And how many FALSE Positives?
If one million people take the test, how many TRUE Positives will there be?
And how many FALSE Positives?
"In this case, it looks like there isn't enough information to solve the problem."
There is enough info to answer.
You have to combine two known probabilities.
If home work, show what you have done so far
There is enough info to answer.
You have to combine two known probabilities.
If home work, show what you have done so far
SOLUTION
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As clear an explanation as possible.
If this is a homework question (and it looks like it might be), you need to say so up front and explain how far you have gotten and/or what you are having trouble with.
In this case, it looks like there isn't enough information to solve the problem. If you don't know how rare the disease is (the probability of a random person having it), you have no way to filter out false positive results.