The scientific method is wonderfully simple, intuitive, and above all effective. Based on the available evidence, you formulate several hypotheses and assign prior probabilities to each one. Then, you devise an experiment which will produce new evidence to distinguish between the hypotheses. Finally, you perform the experiment, and adjust your probabilities accordingly.

Either there is more than one "scientific method", it isn't really a method, or science doesn't actually follow the scientific method (and therefore, cannot be justified by that method).