Final answer:
Medicare Part A is the component that covers hospitalization expenses for a patient, which includes inpatient care, hospice, and home health services.
Step-by-step explanation:
If a patient's medical expenses are covered under Medicare and they are hospitalized, the component of Medicare that can be claimed is Part A. Medicare Part A pays for some hospital charges for eligible individuals, such as inpatient care, hospice, and home health services. It is primarily funded by payroll deductions and contributions from employers. Patients are responsible for a deductible and copayments for various hospital-related services. Additionally, there are no limits on the total costs that a person can incur under Medicare Part A coverage.