Hard to judge based on a total lack of information. It's pretty clear that there is an overwhelming public perception of it being safer in a car than on a bike, at least in North America.

Take for example a typical news article describing a bicycle accident. It will always mention whether the rider was wearing a helmet. Even if it doesn't even involve head injuries.
Helmet or not, was the driver taking precautions? Where does it mention if the driver was wearing a seatbelt, did the airbag deploy?

Car accidents involving death are also a side note, an afterthought. There was a little blurb on the radio a week ago after our long weekend. Statistics were read for the number of drivers caught speeding, driving drunk, texting, etc. then at the end "and 2 deaths from accidents".

I don't think its about what mode is safer, I think looking at the effect is wrong. Look at the cause: what mode is injuring and killing the most people? That one is pretty clear, especially if you're an American child (#1 killer of children in USA is cars).