While it would be better if the police report correctly blamed the other party, we have overcome this many times. Remember, the police are not “eyewitnesses” and are trying to put the pieces of the puzzle together. Sometimes, they are distracted by getting the road reopened and/or dealing with serious injuries. Regardless, they, like any other human, can make mistakes. If you find an error, you should immediately try contacting the investigating officer to at least voice your disagreement. After that, hire a lawyer.