FiveThirtyEight.com published a very interesting feature: asking some leading scientists at a statistics conference to explain a P-value in simple, nontechnical terms. While they all knew the technical definition of a P-value, they were at a loss as to how to explain this technical notion to a nontechnical audience.
I plan on showing this article (and the embedded video) to my future statistics classes.
http://fivethirtyeight.com/features/not-even-scientists-can-easily-explain-p-values/