Final answer:
A proper understanding of family-centered care by nursing students would be demonstrated by their ability to articulate the importance of involving the patient's family unit in their care and recognizing the impact of the patient's health on their family.
Step-by-step explanation:
A statement that would indicate nursing students understood family-centered care might be: "Family-centered care is an approach where the health care needs of patients are met while considering and supporting the well-being of their entire family unit."
This demonstrates that the students recognize the importance of treating the family as an integral part of the patient's care plan, respecting their knowledge, values, and needs, and collaborating with them throughout the treatment process. They should also appreciate that family members, including children, can be affected by the patient's health and might require support.