Final answer:
Farmers did not share in the prosperity of the 1920s due to falling crop prices and an unequal distribution of income, even as other sectors like Wall Street and innovators saw economic success.
Step-by-step explanation:
The group of Americans who did not share in the prosperity of the 1920s were the farmers. Although it was a period known for economic growth and industrial advancement, farmers faced hardships due to falling crop prices and an increase in debt. Industrial workers, while facing their own set of challenges such as stagnant wages and poor working conditions, benefitted somewhat from technological advancements and the availability of consumer goods. Conversely, Wall Street investors and inventors and innovators flourished, benefitting from the economic boom and stock market success.
The situation for farmers was exacerbated by an unequal distribution of income and a lack of institutional support that led to a reduced ability to participate in the economic advancements of the decade, setting the stage for further economic declines as the Great Depression approached.