So, the two important characteristics of a test are sensitivity and specificity.
If a test is 99% sensitive, if you tested 100 known positive samples, you would get 99 positive (correct) results and 1 false negative result.
If a test is 99% specific, if you tested 100 known negative samples, you would get 99 negative (correct) results and 1 false positive result.
It's important to note that these are lab based tests: I'm guessing they're ELISAs, but the article doesn't say.