Final answer:
The author of the Declaration of Independence refutes the argument that the allegations against the British king were without proof and unjustified by detailing attempts at communication and resolution with the British government before declaring independence. The correct option is D. The allegations against the king made by the colonists are without proof and unjustified.
Step-by-step explanation:
The argument the author anticipates and refutes in the excerpt from the Declaration of Independence concerns possible claims that the colonists have not expressed their grievances to the British monarchy and Parliament. By stating that the colonists have warned, reminded, appealed, and conjured their British counterparts, the passage refutes any argument that the colonies failed to communicate their issues and desire for resolution before declaring independence.
The precise argument being refuted is that the allegations against the king are unjustified due to a lack of previous communication, making the correct answer to the student's question is the allegations against the king made by the colonists are without proof and unjustified. Furthermore, historical context from the provided references shows the colonists did, in fact, try various means to resolve their disputes with the British Crown, thus justifying their actions and demonstrating that their grievances and subsequent desire for separation were grounded in real and articulated concerns.