Final answer:
The statement about proprietary colony proprietors having no responsibilities other than profit collection is false; they also managed the colony's governance. Sharecroppers paying rent with crop shares is true. The necessary and proper clause expanded national government power, making this statement false.
Step-by-step explanation:
The statement that In a proprietary colony, the Proprietors have no responsibilities except to collect the profits is false. Proprietors in a proprietary colony were responsible for much more than just collecting profits. They had to manage the colony's affairs, which included creating laws, appointing officials, and ensuring the colony's defense and overall order. Therefore, they played an active role in the administration and governance of the colony.
Addressing the second statement, Sharecroppers were tenant farmers who paid their rent with shares of their crops, this is true. Sharecroppers indeed paid their rent through a portion of the crops they produced on the land they farmed.
Finally, the claim that The necessary and proper clause has had the effect of limiting the power of the national government is false. The necessary and proper clause has been used to expand the powers of the national government, allowing it to make laws deemed necessary and proper for carrying out its duties.