Ohio state re restrictions on employers asking applicants & employees about arrests & convictions.
Arrests - In any application for employment, a person may not be questioned with respect to any arrest or taking into custody for which the records were sealed. If an inquiry is made regarding sealed or expunged juvenile records, the person may respond as if the arrest or taking into custody did not occur, and the person shall not be subject to any adverse action because of the arrest or taking into custody or the response.
Convictions - In an application for employment a person may be questioned only with respect to convictions not sealed unless the question bears a direct and substantial relationship to the position for which the person is being considered.
Whether then criminal record will show up on a background check or not depends on how thorough of a background check the employer does.

