"So this morning I woke up to my boyfriend upset that my phone was on silent. I always put my phone on silent. I hate being woken up in the middle of the night by email notifications, Facebook, or other apps. Well this morning he sent me a forward on Facebook and he didn't hear my phone "bing".
So now I'm being accused of hiding something and/or cheating. My question is, are there other people in a relationship that do that same thing, or is it just me? I do it for an honest reason."
Your boyfriend is insecure and doesn't trust you. Obviously, not a good thing. You need to have have a talk with him. He could have been cheated on in the past and this is something his ex would do. Ask him if he's been cheated on in the past.
Explain to him why you do this with your phone and what you can do to help. And, assuming you're not doing anything actually shady with your phone like sneaking it away to another location and checking it there or facing the screen to only you so he can't see, explain to him that you haven't given him any reasons to be suspicious. That there's no need for him to worry.
If you're willing to check your phone and answer calls in his presence, putting your phone on silent from time to time, even for long periods of time, that by itself shouldn't give any person a legitimate reason to be suspicious.
Of course, there's also the chance that he could be cheating himself or has cheated in this past and this is what he was doing. If he's doing anything shady himself, then this could be the case.
Bottom line, have a good talk with him, mention everything I told you, try to give him some reassurance. If he still can't trust you, then there's really nothing else you can do so you have to either accept that he likely never will trust you or you just have to leave him.