Final answer:
Elaine should document the discrepancy in trauma injuries reporting and communicate it with the hospital's administration to ensure proper compliance with state laws.
Step-by-step explanation:
The best course of action for Elaine, who has moved to a new state to assume the director of HIM in a large community hospital and has noticed that traumatic injuries are not being reported in her new position, is to document the discrepancy and report it to the hospital administration. This action respects the chain of command while ensuring that the issue is addressed appropriately. Moreover, it provides an opportunity for the administration to rectify the situation according to the state's health reporting laws, if applicable.