I don't know about statistics specific to woodworking. There are thousands of accidents every year involving table saws, circular saws, nail guns etc., but most of that is by people in construction.
I'd say that 99% of all accidents in the shop are caused by being in a hurry, tired or stupid, or a combination of all three. The remaining 1% is caused by something really unexpected, like a nail in a board or a router bit that disintegrates due to faulty manufacturing.
Safety equipment and methods help a lot. Some help prevent problems (e.g. splitter/ riving knife, featherboard, using a starting pin), others help reduce the effect of an accident (e.g. safety glasses, standing out of the line of fire). There is common sense involved too - no clutter near the tools, good lighting, sharp and clean blades, right tool for the job etc.
If you're afraid of your tools, chances are you have the wrong tool. My old table saw scared me. It was underpowered and inaccurate. Always felt I was forcing things. That's not the right way to work.
As far as I know, anything I do around the house is covered by my insurance. No idea if it's the same for you, but it's very likely. Not sure if that's a comfort or not :gar-La;