The State of Georgia executed Ray Cromartie for the 1994 murder of convenience store clerk Richard Slysz, despite concerns that he was not the shooter in the crime. (His codefendant, who may have been the shooter, was released from prison years ago.) Before his execution, Mr. Cromartie sought, unsuccessfully, DNA testing to prove that he did not pull the trigger. Mr. Slysz’s daughter also joined his request.