The statement that does not accurately describe the transition from mercantilism to capitalism in Europe is:
"New colonies were not profitable for European nations, so a shift to capitalism was necessary."
This statement is misleading, as many European nations profited significantly from their colonies during the mercantilist period. The transition to capitalism was influenced by various factors, including the rise of the middle class, Enlightenment ideas, and changes in economic control, rather than a lack of profitability from colonies.