Sarah$$s comprehensive major medical health insurance plan at work has a deductible of $$450.$ The policy pays $85$ percent of any amount above the deductible. While on a hiking trip, she contracted a rare bacterial disease. Her medical costs for treatment, including medicines, tests, and a six$-$day hospital stay, totaled $$9,250.$ A friend told her that she would have paid less if she had a policy with a stop$-$loss feature that capped her out$-$of$-$pocket expenses at $$3,350.$ The policy with the stop$-$loss feature has the same deductible and coinsurance requirement as Sarah's current policy.

Determine which policy would have cost Sarah less and by how much.