Final answer:
The level of hospice care heavily involving family members is Routine Home Care, which encourages patient comfort at home.
Step-by-step explanation:
The level of hospice care where family members provide a significant amount of the care is D) Routine Home Care. This type of care allows patients to remain at home and is often preferred because it offers a sense of familiarity and comfort. Family members play a critical role in providing daily care but also receive needed emotional support and guidance from the hospice team. Routine Home Care emphasizes the involvement of the family in the patient's care and is geared toward maintaining the comfort and dignity of the patient within the familiar home environment.