A successful democracy depends upon widespread interest and participation in politics, in which voting is an essential part. To deliberately refrain from taking such an interest, and from voting, is a kind of implied anarchy, it is to refuse one's political responsibility while enjoying the benefits of a free political society. This passage relates to

The passage argues that refraining from voting is a refusal of "political responsibility" and a form of "implied anarchy." This language strongly suggests that voting is not just a privilege or a choice, but an obligation or a moral imperative for citizens in a free society.

A) duty to vote: This aligns perfectly with the passage's emphasis on "political responsibility" and the negative framing of deliberately refraining from voting. The passage is essentially arguing for a civic duty to participate through voting.

B) right to vote: While voting is a right, the passage takes this right for granted and instead focuses on the exercise of that right as a responsibility, not merely its existence.

C) freedom to vote: This refers to the ability to choose whether or not to vote without coercion. The passage acknowledges this freedom by discussing "deliberately refrain[ing]," but then argues that despite this freedom, there is a responsibility to vote.

D) right to participate in politics: While voting is a form of political participation, the passage specifically highlights voting as an "essential part" and frames the responsibility directly around the act of voting, not just general participation.

The core message is about the obligation or responsibility to vote, making "duty to vote" the most accurate interpretation.