I haven't been job searching, but what's required seems to depend on where the job is located. Some places insist on an actual criminal record check. Whether this check can done by local police or is federal, also seems to vary by the job's location. Some places simply require the applicant to sign a form stating they have no criminal record.
Like everything TIC, the answer always contains the 'concepts': maybe, perhaps, depends, might, probably, likely...