Humans die in car crashes all the time. It's one of the leading causes of premature death.

Source for that. Are you talking for your country?

https://ourworldindata.org/exports/death-rates-road-accidents_v25_850x600.svg

https://ourworldindata.org/uploads/2019/05/Causes-of-death-in-USA-vs.-media-coverage.png

If a self driving car is proven to have a statistically lower rate of accidents than a human, then that's enough for me.

You take your chance in your country, not in mine. I refuse to be a statistic. Also cars kill trough cancer, by the pollution they emit through their construction, usage and elimination. See cancer in the figures above. These cancer don't popup for no reason.

A microprocessor can make much quicker decisions than a human, it's just a matter of giving it the right information (cameras, lidar, radar).

Your microprocessor was fooled by a traffic cone, see the picture of the article. I won't let this robot decide the cause of my death.