The most accurate comparison of Adams and Jackson from the options you provided is:
Adams supported efforts to promote the growth of businesses, while Jackson supported efforts to help the ordinary man.
This statement captures the essence of their political philosophies. John Quincy Adams was more favorable towards a strong federal government that supported economic development through infrastructure and industry, often appealing to business interests. In contrast, Andrew Jackson, representing a more populist approach, focused on the interests of the common man, championing democracy and opposing what he saw as the elite establishment.
The other statements do not accurately portray their positions or support bases.