If arrested for DUI or alcohol and instructed by the police officer to give a breath test what rights do you have?

While the answer varies by state law, the general answer is that you have the right to refuse but you will lose your license if you do refuse.

In Oregon, for example, you are required to take a breath test. You do have the right to refuse, but if you do refuse your license is suspended for at least one year regardless of the outcome of the DUI charge.