When you are stopped by the police, you cannot be compelled to give a statement; you have the Constitutional right to remain silent.  While you should always be polite and courteous to police officers, it is prudent to exercise this right.  You can then speak with an attorney and decide the best way to proceed.  

In the historic case of Miranda v. Arizona, the United States Supreme Court declared that whenever a person is taken into police custody, before being questioned, he or she must be told of the Fifth Amendment right not to make any self-incriminating statements. Because of Miranda, anyone in police custody must be told four things before being questioned:

• You have the right to remain silent. 
• Anything you say can and will be used against you in a court of law. 
• You have the right to an attorney.
• If you cannot afford an attorney, one will be appointed for you.

Therefore, it is important to note that when police officers question a suspect in custody without first giving the Miranda warning, any statement or confession made is presumed to be involuntary, and cannot be used against the suspect in any criminal case. Any evidence discovered as a result of that statement or confession will likely also be thrown out of the case.