Whether voting is a responsibility, privilege, or right, is quite an opinion. But there are some fundamental opinions that are common in the world today, and many believe in them. The American public is typically encouraged to vote. News sources remind people to vote on Election Day. Many people believe that a citizen shouldn't complain about the government if they didn't vote.
Probably the most common reason people wouldn't vote is because they feel that one vote wouldn't make much of a difference. But imagine what would happened if everyone in the country decided to think like this. Then it would make a difference. Another reason could be that they don't have enough time. The government has done all it could to make voting available to every legible person. If someone was on a vacation, the government has a system to allow that person to vote. There are poll booths in many public areas such as schools. Also, the majority of people take their time to vote, so if others have time to vote, everyone should. Employers understand that the employees need to vote, and there should be time left for them to vote.
Voting seems to be quick and easy. But it does require plenty of time to be informed about the candidates or issues. Because of this, it's partially understandable why people wouldn't vote a few centuries ago. It was harder to be informed about candidates or issues. But today, with the invention of the television, telephone, Internet, and plenty of other sources, it's easy to be informed.
When people vote for a candidate, they select that candidate to play the role he or she campaigned for. Whatever the candidate does, is what the voter voted for. Simply, a candidate is like a package that comes as one piece when it is elected. So voting requires thinking about what is inside the packages.
If everyone in the country didn't vote, then the worst that could happen was that the government was horrible, making bad decisions, not holding its economy, and making life miserable for citizens. Then there would be new elections. People would still have the right to vote, and to change their economy. Basically, voting is most important factor of whether an economy had democracy. This shows that when women won the right to vote, the country took a big step towards equal rights.