Anyways you can't say the invisible dragon in my garage is testable. Say you throw flour on it. I just say "maybe the dragon is impermeable to flour." You try to touch it. I say "It moved to avoid being touched." You listen for sounds. I say "it's a quiet dragon." Etc. This is similar to religions constantly changing every time some fact they claim gets proven false. I could always just say "the existence or non-existence of the dragon is outside the realm of science."
At the end of the day I still highly doubt you are going to believe there is a dragon in my garage. In fact I doubt you will accept even the tiniest possibility that there is a dragon in my garage. Well maybe tiny possibility but not worth considering. Not any larger than any other crazy idea people can come up with.
This is perhaps a very complicated way of reasoning back to the standard idea most scientists will tell you: "It's stupid to believe things without evidence" or "most theories turn out to be wrong."
As I said, religion isn't special. Everything here applies to it just as much as the dragon.
A good explanation of Bayesian reasoning: http://yudkowsky.net/rational/bayes/