What was the difference between a proprietary colony and a royal colony?

A royal colony is a colony that is a colony ruled by appointed officials. In United States history, New York was a royal colony governed by a council and a royal governor appointed by the British Crown. An administrator that has the overall rule over a land. 
A proprietary colony is a colony that were granted to an individual or group of individuals by an administrator, the British Crown for US history, and were granted full rights to self-govern to develop and self-govern the colony themselves without the Administrator's rule. 

The correct answer is b. false.