Final answer:
The statement about proprietary colonies is false; proprietors had multiple responsibilities including governance and administration. The statement about colonists' view on taxation is true; they objected to taxation without representation.
Step-by-step explanation:
The statement 'In a proprietary colony, the Proprietors have no responsibilities except to collect the profits.' is false. Proprietors of a proprietary colony had several responsibilities beyond just collecting profits. They were responsible for appointing a governor, creating laws with the consent of the freemen, administering justice, and overseeing the overall administration and governance of the colony. Their duties included fostering the development of the colony and maintaining order.
Regarding taxation, the statement 'The colonists did not necessarily object to the principle of taxation, but rather how the tax money would be applied.' is true. The colonists were particularly opposed to the idea of taxation without representation, which concerned the lack of colonial representation in the British Parliament, where decisions about the colonies' taxation were made without their input or consent.