Contrary to the advice of supposedly authoritative sources, the a priori exclusion of supernatural explanations or claims from scientific scrutiny is not appropriate. This paper shows how supernatural hypotheses or claims should be treated by science and, in the process, differentiates scientific and non-scientific hypotheses or claims. Educational strategies are provided to help reduce the widespread belief in claims that have been contradicted by scientific testing and to help students avoid advancing hypotheses that are unlikely to be supported by empirical evidence. Both science and religion appear to play a role in societies, and there need be no conflict between these two very different domains.