A TOTAL LOSS OF ENGINE POWER WAS EXPERIENCED DURING INITIAL TAKEOFF CLIMB. THE PLT ATTEMPTED TO TURN BACK TO THE AIRPORT. ACCORDING TO THE PASSENGER, THE STALL HORN ACTIVATED DURING THE TURN AND THE ACFT COLLIDED WITH THE GROUND. INVESTIGATION REVEALED THAT THE PILOT TOOK OFF WITH THE FUEL SELECTOR POSITIONED ON THE RIGHT WING FUEL TANK WHICH CONTAINED ONLY RESIDUAL FUEL.