If I say, "I believe I turned off the oven," I'm not expressing a faith-based conviction to the idea that I turned it off, I'm saying that based on my best recollection of the evidence, I did turn it off.
Right, it's subjective and based on your own experience without concrete evidence. That's what I'm saying. Science is objective and must rely on evidence.
I'm not insisting that belief necessarily means anything faith-based. It could, but that's not what we're focusing on here. Only that it has a different meaning than accept as far as science is concerned.