Final answer:
The American Hospital Association (AHA) is the national organization representing non-profit hospitals, working to promote high standards and quality healthcare while advocating for its members.
Step-by-step explanation:
The full name and acronym for the national organization that represents or advocates for non-profit hospitals is the American Hospital Association (AHA). The AHA is a nonprofit health organization that serves the broader hospital community by promoting high standards, professionalization, and advocating on behalf of its members to influence policy making through lobbying and public education. Additionally, they are involved in networking, collaboration, promoting new practices, and focusing on bringing down the cost of health care while increasing the quality of care.