Science is distinguished from pure math in that it yields predictive information.
The only publicly endorsed methods of evaluating such information are statistical. However, many consumers of science, including politicians and business leaders, face decisions for which it would be impractical or impossible to gather justification solely through such methods. For example, it would be unethical to subject humans to properly controlled social experiments, and statistical models won't converge for such chaotic systems anyway. Thus, people are forced to base some decisions, at least in part, on beliefs which haven't been scientifically proven. We can reduce the need for such arbitrary decision-making by establishing standards for alternate methods of identifying intelligent predictions.