I can think of several ways to check, but you've been told most of them. (And some I hadn't known!) I'd like to add:
1) Ground a test light to the frame or body and probe both posts. On a negative ground vehicle only the positive post will light. (The vast majority of vehicles, at least here are negative ground . I don't think I've ever seen a positive ground, though I've always heard they exist.)
2) Get (or make) an adapter that clamps to your battery posts and adds a cigarette lighter type receptacle. Hook it up and plug in anything with an
LED to indicate power. LED is Light Emitting Diode. Electricity can only pass one way through a diode. If it
lights, the polarity is right, and the red clamp is on the positive post. If it doesn't light, switch the battery clamps.