Final answer:
The statement is false; proprietors of proprietary colonies had multiple responsibilities including administration, legislation, appointments, and colony defense beyond just collecting profits.
Step-by-step explanation:
The statement that in a proprietary colony, the Proprietors have no responsibilities except to collect the profits is false. Proprietors of these colonies were responsible not only for the collection of profits but also for the administration of the colony. This included making laws, appointing officials, and ensuring the colony's defense and overall well-being. Furthermore, Proprietors had to maintain a favorable relationship with the crown and the colonists, making their role quite complex and involving more than just profit collection.