After more searching on this forum, I found a reference to something called the adjusted/modified wald method and the LaPlace method. It seems like those are good candidates to apply to this problem.
I have this problem that I have been trying to figure out all week and can't seem to get.
I have a process that produces one of two outcomes "OK" (in some unknown porportion: p) or "NOT OK" (in porportion q = 1-p). Let's say I ran the process [x] times (like 20) in a row and it reported...