Final answer:
The colonists in Connecticut aimed to create a religious society founded on Puritan beliefs, influenced by Calvinist doctrine, seeking to establish a 'city upon a hill' reflecting a religious orientation.
Step-by-step explanation:
Based on the principles described in the provided documents, the colonists in Connecticut were trying to form a religious society founded on their religious beliefs. This is evident from the Puritan influence on their social mores, economics, and politics. The Puritans sought to adhere to Calvinist doctrine and wished to establish a society composed of 'visible saints'. They did not practice religious toleration except in Rhode Island, and their vision was to create a 'city upon a hill', reflecting a deeply religious orientation. While they believed in hard work and moral standards influenced by the Ten Commandments, their societal structure was dictated by religious beliefs, as shown in the opening with a form of prayer and the link between their social bonds and God.