That is not accurate. It largely depends on the type of accident. A accident not involving injury does not require police notification. It does require a person to exchange certain information including name, address, veh. reg., and DL. An injury accident does require notification of the police as does an accident involving damage no matter how severe that would limit the safe operation of a vehicle. (If you busted a persons windshield, although the replacement cost would typically be less than $1000 it would render the vehicle unsafe to drive and therefore require a report).