"Miranda Rights" are the rights guaranteed to you under law if you have been arrested.
“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 provided for you. Do you understand the rights I have just read to you? With these rights in mind, do you wish to speak to me?”
More information here and here.
Responsibilities:
O.R.C. 2921.29 states that "No person who is in a public place shall refuse to disclose the person's name, address, or date of birth, when requested by a law enforcement officer who reasonably suspects either of the following:
(1) The person is committing, has committed, or is about to commit a criminal offense.
(2) The person witnessed [a crime]"
Follow the link above to read the full law.