Final answer:
The federal agency responsible for administering Medicare programs related to home health is the Centers for Medicare and Medicaid Services (CMS).
Step-by-step explanation:
The federal agency within the DHHS responsible for administering Medicare programs related to home health is the Centers for Medicare and Medicaid Services (CMS). CMS is a federal agency that oversees Medicare, which provides health insurance for people who are 65 or older or have certain disabilities. It also administers Medicaid, which provides health coverage to low-income individuals and families.