Write SQL query to solve given problem: Between the Ivy League Schools, which school's state have the lowest sate appropriations to higher education in fiscal year 2011 per resident?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.state FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON T2.state = T1.state WHERE T1.chronname IN ( 'Brown University', 'Columbia University', 'Cornell University', 'Dartmouth College', 'Harvard University', 'Princeton University', 'University of Pennsylvania', 'Yale University' ) GROUP BY T1.state ORDER BY SUM(T2.state_appr_value) ASC LIMIT 1