A toy example of why test sensitivity and specificity matter in serosurveys.
Imagine population seroprevalence is 4%. Test sensitivity is 80%. Specificity is 99.9%. For a random sample of 3000 participants, you would expect ~100 positives, 3% of which will be false positives. pic.twitter.com/TMyCZGNXkq
Here is the math, assuming 5% prevalence of antibodies in the population, and a 90% accurate test. Under these assumptions, the test gives the wrong result about 68% of the time among the people who test positive for antibodies. pic.twitter.com/k67i1jkwX5