I've got to teach a basic course on the $\chi^2$ test soon, and I will of course insist on the fact that $p$ is not the probability of the null hypothesis to be true, and that the result of the test can't allow to accept the null. However, students of this course won't have any mathematical or statistical background, and I'd like to provide an explanation as intuitive as possible.
I've read some interesting things in this ScienceNews article, with an example of a dog barking when he's hungry, but I still don't find this really clear enough.
Did you already provide such an explanation, or have any idea or example that would be "sufficiently intuitive" ?
Thanks a lot in advance.