A test has 60% sensitivity and 20% false positive rate. The test on a patient is negative. What is the probability that the test is a false negative?
How do I set up this problem to solve?
60% sensitivity= true positives/true positives + false negatives
20% false positive
I was thinking that if you have 20% false positive then you would have 80% true positive, so to solve for false negative:
sensitivity (60%)= true positive (80%)/true positive (80%) + X (false negatives)
I don't think I'm setting this up right because when I solve for X I get a negative number. So I either set it up wrong or I don't remember algebra or both
Thank you for your help!