Write SQL query to solve given problem: What is the name of the school with the highest difference in the average completion rate for the national in which it belongs? Indicate the state appropriations to higher education in fiscal year 2011 per resident to which the school belongs.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.chronname, T2.state_appr_value FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON T2.state = T1.state ORDER BY T1.awards_per_value - T2.awards_per_natl_value DESC LIMIT 1