Final answer:
The Food and Drug Administration (FDA) is the agency that establishes standards of identity for common food products, ensuring food safety and quality as well as accurate labeling in the United States.
Step-by-step explanation:
The agency responsible for establishing standards of identity for common food products is the Food and Drug Administration (FDA). The FDA's authority comes from the Federal Food, Drug, and Cosmetic Act along with other legislation, which allows them to oversee the quality of food substances in the United States. Additionally, this includes monitoring labeling claims regarding the composition and health benefits of foods.
The FDA collaborates with other federal agencies such as the Department of Agriculture and local and state government agencies to conduct regulatory inspections and enforcement actions. They play a crucial role in ensuring food safety and protecting public health by regulating a broad spectrum of products, from food and dietary supplements to pharmaceuticals and medical devices.