No, the number of false positives is X% of the total number of tests.Sure of how what works? I'm sure that if X% of tests are positive, then a small proportion of that X% will be false positives
But that would mean no one knows who is positive and who is negative; just that the actual number is correct.(partially cancelled by the fact that should have been positives were 'false negatives').
Not sure how that helps.I'm also sure that, if (as I think we can assume) the proportion of false positives and negatives remains roughly remains fairly constant from day to day, then inaccuracies in the data for those reasons will not seriously affect the pattern of changes over time.
Bayes's theorem.
.