At about 1500 eastern time, a Piper J4A lost engine power on initial climb from Cincinnati Municipal-Lunken Field and crashed. The pilot was not injured. The pilot said the engine stopped as he climbed through 500 feet. He attempted to return to the runway, but the landing gear struck the edge of the runway, the left gear collapsed, and the airplane flipped over. This was the first flight after the annual inspection, which included replacing the carburetor and changing the float. Post-accident examination revealed that the carburetor float was out of adjustment.