The correct answer is A.
Coolidge and Hoover were liberals, they believed that the free interactions of the economic agents (households, businesses and public sector) in the markets, where they acted as producers and consumers, would generate the most efficient outcomes in terms of equilibrium prices and production levels. Therefore, state interventionism in the economy should be removed because it would be distorting the truly efficient results.
On the other hand, F. D. Roosevelt introduced economic measures based on Keynesian economics and on strong state interventionism. For instance, the New Deal was the package of measures that Rooselvelt implemented as a response to the Great Depression and its consequences. The whole plan was based on using the fiscal policy tools, more specifically increases in public spending, to boost the aggregate demand levels and, in turn, economic growth.