You are in the same boat as Iowa. You can count the minorities on one had at any given time. Even in the cities.
I know the perception of Ohio as a mostly white farming state is possible. In reality, we are far from it...
White 53.36%
Black or African American 43.13%
American Indian and Alaska Native .3%
Asian .65%
Hispanic or Latino(of any race) 1.58%
I am not sure where you obtained those statistics for Ohio, but according to the US Census Bureau's 2010 census the racial and Hispanic breakdown in Ohio is:
White: 82.7%
Black: 12.2%
American Indian and Alaska Native: 0.2%
Asian: 1.7 %
Hispanic or Latino origin: 3.1%