Some natural solutions to the p-value communication problem--and why they won't work.

Instead, do the work to present statistical conclusions with uncertainty rather than as dichotomies. Also, remember that most effects can't be zero (at least in social science and public health), and that an "effect" is usually a mean in a population (or something similar such as a regression coefficient)--a fact that seems to be lost from consciousness when researchers slip into binary statements about there being "an effect" or "no effect" as if they are writing about constants of nature. Again, it will be difficult to resolve the many problems with p-values and "statistical significance" without addressing the mistaken goal of certainty which such methods have been used to pursue.