section 801 of the Public Health Service Act) which has entered into a written agreement (as described in subsection (b)(1)) with the eligible hospital participating in the program. (4) Program The term program means the graduate nurse education program established under subsection (a). (5) Eligible hospital The term eligible hospital means a hospital (as defined in subsection (e) of section 1861) or a critical access hospital (as defined in subsection (mm)(1) of such section) that has a written agreement in place with— (A) 1 or more applicable schools of nursing