Statistics question on errors and probability with Coronavirus

Question

Recently a survey in California suggested that considerably more people have been exposed to COVID-19 than previously thought. However, the testing equipment used apparently has a 1.7% false positive rate. My question is does this entirely invalidate the survey? Their numbers: N=3,300; Percent positive range 2.49% to 4.16 percent (CI not provided, I assume 95%). Error of the actual test given. I've dug through my old stats books, but I can't find a case that says ok we know that our measurement instrument is wrong by this much.