Because of the nature of our business, we will ask to conduct a complete background check before hiring you at Hampton Inn. Are you willing to comply?

The interviewer is trying to ascertain if there might be any issues with your background, by offering you a chance to disclose them in a private setting. This question is the best time to disclose if you have a criminal record. Full disclosure may not make you exempt from employment with Hampton Inn - they may need to understand the charge and assess the risk.