For those of you who wonder what to admit to, this comes from an application for another part of the Federal Government:

"Have you ever been arrested for, charged with, OR convicted of a felony or misdemeanor, even if expunged from your record?...

NOTICE: IF YOU CHECK "NO" FOR THE ABOVE QUESTION AND THE CRIMINAL HISTORY CHECK REVEALS INFORMATION TO THE CONTRARY YOUR APPLICATION WILL BE AUTOMATICALLY DISQUALIFIED."

This is not for Global Entry, but gives an idea about how federal law enforcement feels about the general issue....