You have a lot to learn. False negatives are parr for the course. If you live in N. America it is mistakenly believed that parasites are not a problem here....that they are a third world disease. For that reason, the lab techs are not very trained in looking for and identifying small protozoa. Then there are some protozoa that look very much like similiar ones that are thought to be harmless and are often confused.
I also heard that even if they see one parasite they conclude that as negative. They have to find a certain number within a certain amount of specimen to conclude a positive result. How crazy is that? All you need is one to infect you.
So a negative result does not mean no parasites. The only result that is almost certain...is a positive one.