(Based on comment, with some elaboration)
I am not a lawyer. It would be foolish to take my opinions as legal advice.
She however, is not sure if it is a Traffic Offense or Criminal Offense (DUI)
Suppose it is a Traffic Offense. You claim it involved serious bodily injury. Then it is not excluded by excluding traffic offenses not involving death or serious bodily injury, so it would appear your friend must report it.
Suppose instead it is not a Traffic Offense but it is a Criminal Offense. Then your friend must report it. It appears your friend must report it in any case.
It's possible that the University isn't legally allowed to ask a question requiring this kind of answer. I would take the fact that they have asked as a fairly strong indication that it probably is allowed, since this is not likely their first rodeo, so to speak. But your friend could look into this angle if she doesn't want to answer the question.
Is your friend afraid that by answering honestly, her chances to be admitted will be harmed? Suppose she is not concerned. Then there is no reason not to answer the question truthfully. Suppose she is. The school is then either allowed to require an answer, or is not allowed to require an answer. If the school is allowed to require an answer, your friend likely has to answer and should almost certainly answer truthfully, as arrest records may well be public records that turn up in a background check or the University's research. If the school's not allowed to ask and they did anyway, is it the kind of place your friend would want to attend in the first place - a place that has demonstrated intent to unfairly discriminate against people in her situation? I digress.