You have the constitutional right to not speak with an attorney. By refusing to answer questions posed at you, you have not obstructed justice. You cannot be arrested for refusing to answer a question. You can, however, be prosecuted for making a false statement. Therefore, do not place yourself in this situation.
When questioned by the police, you should not volunteer any answers to questions. You should clearly tell the police that you will not answer any questions without an attorney present.
It is a very natural thing to want to defend yourself when accused of a crime. However, realize you could be making things worse for yourself. There is a time and a place for your side of the story – let your criminal defense attorney dictate when that is. The time of the arrest is not the place to defend yourself. You cannot talk a police officer out of arresting you. The correct forum is with your attorney, in the courtroom.