I don't know...Normally when a puppy comes in with vomitting and diarreah, we do BOTH fecal and parvo tests. Quite often they have one or more parasites in addition to parvo. Did you have a second parvo test done? At our clinic, if there is any question, we run the parvo test a second time to be on the safe side.
Also, you must remember, a puppy isn't fully protected from parvo with just one vaccine. I wouldn't recommend taking a puppy anywhere until 3rd set of vaccines are given to ensure they are fully protected. So if your pup has only had one vaccine, I'd redo the parvo test. Puppy still may have Coccidia, but if you miss the Parvo because you were too focused on the Coccidia, you may be in for some heartache