Question

franklin roosevelts new deal reforms sparked an ongoing national debate on
the proper role of government.
the legitimacy of roosevelts election.
the necessity of private business.
the need to end the great depression.

Explanation:

The New Deal expanded federal government intervention in the economy (e.g., social programs, regulation of industries) which sparked debate over how much power and responsibility the government should have in economic and social life, centering on the proper role of government. The other options are incorrect: Roosevelt's election legitimacy was not a core debate from the New Deal; the necessity of private business was not the central focus (the debate was about government vs. market, not eliminating private business); and nearly all agreed on the need to end the Great Depression, the debate was over how, not the need itself.

Answer:

the proper role of government.