In criminal cases the question arises “should I give a statement to the police if they question me”. Answer is almost always NO! The Police are doing their job and investigating whatever crime has been committed. If they have singled you out and asked you to speak with them and give a statement regarding the alleged crime then you are a suspect and should never give a statement without an attorney present to protect your interests.
Many times statements are given and facts revealed that you think are harmless to you but in fact makes the case for the police and results in your being charged and arrested. Chances are if they have brought you in for questioning they are going to arrest you no matter what you say in the statement. So don’t give one.