How many 2-year private nonprofit schools in "CT" whose graduation rate falls below the average for the state?
2-year refers to level = '2-year'; private nonprofit refers to control = 'Private not-for-profit'; CT refers to state_abbr = 'CT'; graduation rate falls below the average for the state refers to awards_per_value < awards_per_natl_value;
SELECT COUNT(DISTINCT T1.chronname) FROM institution_details AS T1 INNER JOIN state_sector_grads AS T2 ON T2.state = T1.state WHERE T2.state_abbr = 'CT' AND T2.level = '2-year' AND T1.control = 'Private not-for-profit' AND T1.awards_per_value < T1.awards_per_natl_value