You can test negative, and still have the virus, just like you can test positive, and not have it.
PCR tests are specifically designed to error on the side of a positive result. The reason should be self evident. But I’ll explain it for the scientifically challenged. A false positive is from a epidemiological stand point a minor inconvenience to an individual and when dealing with a pandemic the individual doesn’t matter the population at large does. A false negative is a potential catastrophe so by design the tests are specifically designed to error on the false positive side. Quarantining one person for ten days or denying them access to a concert or restaurant is insignificant. Allowing a positive person who is marked as negative to spread a pathogen around the population is a major problem. So its self evident why the tests have a higher false positive ratio than false negative it’s 100% baked into the process and for valid scientific reasons.