I don't think those stats are right about under 35 mph. Here's some stats from
http://www-fars.nhtsa.dot.gov/new_tips.cfm?stateid=0&year=2003&tipscat=Crashes
More than 6.3 million police-reported motor vehicle crashes occurred in the United States in 2003. Almost one-third of these crashes resulted in an injury, with less than 1 percent of total crashes (38,252) resulting in a death. - [Crashes ; 2003 ]
Midnight to 3 a.m. on Saturdays and Sundays proved to be the deadliest 3-hour periods throughout 2003, with 1,228 and 1,208 fatal crashes, respectively. - [Crashes ; 2003 ]
Fifty-seven percent of fatal crashes involved only one vehicle, compared to 30 percent of injury crashes and 31 percent of property-damage-only crashes. - [Crashes ; 2003 ]
More than half of fatal crashes occurred on roads with posted speed limits of 55 mph or more, while only 25 percent of property-damage-only crashes occurred on these roads. - [Crashes ; 2003 ]
Collision with another motor vehicle in transport was the most common first harmful event for fatal, injury, and property-damage-only crashes. Collisions with fixed objects and noncollisions accounted for only 19 percent of all crashes, but they accounted for 44 percent of fatal crashes. - [Crashes ; 2003 ]
Forty percent of fatal crashes involved alcohol. For fatal crashes occurring from midnight to 3 a.m., 77 percent involved alcohol. - [Crashes ; 2003 ]