Final answer:
The Federal Housing Administration (FHA) is the organization that aims to help more families achieve the American Dream of homeownership.
Step-by-step explanation:
The organization that has a public mission and defining goal to help more families achieve the American Dream of homeownership is the Federal Housing Administration (FHA). The FHA was created in 1934 as part of Franklin D. Roosevelt's New Deal and it works to increase homeownership and access to affordable housing. Since its inception, the FHA has played a significant role in making homeownership more attainable for many Americans.