I can't tell if you are being sarcastic or not, but I hope you are.
The only argument for having less accidents at high speed that is even remotely receivable is that you spend less time overall on the road (assuming you drive the same).
And that's if you assume that every accident is related to external factors, independent of your speed. In practice, you will have more accidents at higher speed, because:
* You have more kinetic energy (it is very, very rarely useful), thus turns, braking, etc are more
dangerous/difficult, and accidents are more dangerous
* You have less time to react.
Let's take your argument to the extreme: 10 kids cross the road you are on at the same time, at different points. If you're going slow enough, you brake in time. If not, you are probably looking at five dead bodies, because you didn't have time to react, not the room to brake.
It is a bit extreme, but those random events happen all over the place, it is not only time-dependant (if you go slower, you might see more people crossing the road at the same spot), but space-dependant (If you go faster, you might see more people crossing the road at different spots).
Of course, this probabilistic analysis is incomplete, but I will let you consider the cost/reward function associated to a higher probability of (a more dangerous) accident vs arriving late for dinner. And if you are really curious, run some simulations, and you will see that you don't lose that much time by going slower, vs the one you lose by not moving at all (red light, for example). Speeding (in most cases) only leads to marginal gains.