Quote from hanseng1:
Edit: I suppose what I am saying is the system has "fat tailed" distribution. Therefore this test gives a somewhat poor result.
Since you know what the distribution looks like, just compare the distributions directly (what you are getting and what you backtested). The t-test tells you how likely it was that a certain result came from a gaussian distribution. So if you know you don't have a gaussian to begin with, you shouldn't use it.