I am observing 2 types of events with counts ($A$ and $B$) and I want to know if one is more frequent than the other for the time that I am observing. I know the chance of an appearance is uniform over time and independent of the other event. The observations are done for the same amount of time, at the same time.
Essentially I only have two numbers, e.g. $A=100$ and $B=85$.
Is there a test I can use to see if $A$ is more frequent than $B$?