Claiming Parents as dependents

My parents live with me, I provide them food and shelter. My father is 67 and mother is 57. Both are permanent residents. They dont have health insurance. They have no income and doesnt not file taxes.  So my question is as I show them as dependents in my tax return, god forbides if someday they need to get hospitalized will i be responsible for their medical bills. 

Would appreciate an answer!!