Sounds like you've swallowed the government statistics...
Speed does not cause accidents. Bad driving (which can, but does not have to, include inappropriate speed) causes accidents.
Speed (sorry, safety) cameras are a strict letter of the law device, that take into account absolutely nothing but your speed. Unlike a real policeman (if you remember what they look like), who could judge if you were being silly using years of experience.
Take for example a camera on a 30mph stretch near a school.
Situation 1: Pouring rain, 3pm in the afternoon, school kick out time, car doing 29mph (I know, fat chance of doing >1mph with all the 4x4s about, but go with me on this one).
Situation 2: Same road, 2am, lovely clear and dry summer night, car driving at 35mph.
Now which one of those is going to get the speeding ticket? Number 2 because he's doing 35mph past the camera.
Now which of those if most likely to have an accident and hurt someone? Number 1.
I looked carefully at the statistics for a camera near me, the headline said that it had reduced accident, and upon study, yes it had, by about 2 a year (which to be honest would have been eaten up just be standard random variations). However, dig into the figures a little deeper and you find although the total number of accidents had fallen, the fatalities had actually risen! Now I don't know about the rest of you, but I find a few more dents, scratches and bruises highly preferable to deaths.