Final answer:
Professional societies or trade associations like the American Hospital Association develop standards and criteria for health care organizations, aiming to improve the quality of care. The WHO is also influential, with a focus on global public health.
Step-by-step explanation:
The non-profit organization that develops standards and performance criteria for health care organizations is likely referring to a professional society or trade association in the health sector. These organizations, such as the American Hospital Association, work toward improving quality of care and are involved in networking, collaboration, and representing the interests of health care providers and organizations. The World Health Organization (WHO), under the United Nations, also plays a significant role in shaping the research agenda on health and monitoring global health trends, but it is more focused on public health at a global scale rather than setting specific performance criteria for health care organizations.