In Connecticut, a Nursing home runs you about $12K if you private pay (more like $15K in Fairfield County). If you are on Medicaid, the state pays the nursing home only about $7K.
This is why the nursing home operators will do everything they can to keep you paying privately.
Connecticut's total Medicaid costs in 2013 were $1.2B.
In 2013, 70% of the nursing home patients were on Medicaid, 11% were private pay and 13% were Medicare.
The Medicaid application is a 21 page monstrosity requiring 5 years of bank account statements with details of any transfer over $5K.