Do you believe that John Dillinger really did die outside the Biograph Theatre?

Conspiracy theories are nonsense always, I use Occam's Razor, say simplest hypothesis account of facts is best, frauds add nonsense of anything, I demand strong proof not believe John Dillinger shot at theater, are you certain of all this you say here? I must check it further before I reject traditional explanation, I see all conspiracy theories have much nonsense, so I not believe anything until I check all sources, I advise you follow suit.