Watched the first 15 minutes, didn't seem super convincing, so I stopped - have to put bread in the oven soon. Anyhow, it's really easy to just make shit up on television - by which I don't (just) mean lying, making things up is just a natural consequence of rationality failure. The unreliability of eyewitness testimony and all that. The only things in the first 15 minutes that weren't eyewitness were the picture and the geiger counter reading. If you go back and look at the picture, it's a shitty non-equilateral triangle made out of two things that look sort of like indentations, if we're being charitable (which really, we shouldn't be), and one thing that just looks like a stick. The geiger counter reading is reported as "10 times background," which sounds impressive if you've never held a geiger counter, but really just means a nearby rock had some potassium in it, or a dozen other possibilities.

And on the "how to handle evidence part," try checking out this: http://yudkowsky.net/rational/bayes