The answer to this question really depends on your injuries.  If you are seriously hurt and there really is not a choice, then yes you should go to the hospital.  However, if you have the choice, the answer should be "no"!  Why do you ask?  Because unfortunately the hospitals usually are quite expensive when you walk thru their doors for an injury.  Thus, in a car accident in Florida, the Personal Injury Protection (otherwise known as "PIP" or "No Fault" insurance) gets used up at a hospital setting.  Instead, if you can try to go to a walk-in clinic, urgent care center, chiropractor or primary care doctor first so that the PIP can be used more toward your recovery from the injuries.