If you haven't watched it yet, take time to view an excellent video posted on YouTube, given by a Lawyer. His name is James Duane a Professor at Regent Law School.
Professor Duane starts by explaining the top ten reasons for not talking to the police (without your lawyer present), or helping police with their inquiries. No matter how trivial it may seem, or how innocent you may actually be. He goes on to give several examples of how your statements or your answers can be used against you, and in many instances may be the only grounds on which you are convicted, even if you are 100% innocent.
He also explains that police officers are human, and sometimes make errors when collecting or giving evidence.
Its funny and essential viewing, and may one day save you from being convicted of an offence you did not commit. (Or even one that ya did).
The video runs for 28 minutes, but its worth the time invested.
Here's a link to the video: Don't Talk to Cops, Part 1