Question: apostille of state document in USA, for visa application to Spain

[Unregistered]

If I have the State Police in my state do a background check (instead of having an FBI check) for my visa application, how do I get the result of that apostilled ? Does only the US State Dept do apostilling ? Do I send the state document to the federal govt ? Via http://travel.state.gov/content/travel/english/legal-considerations/judicial/authentication-of-documents/office-of-authentications.html ?

Thanks.