The correct answer is the following.
In local elections, people vote for authorities in counties, municipalities or towns. For instance when they elect authorities such as the Sheriff, the Major, or city council members. The candidate with more votes wins the election.
The state election select the positions in the state government. People in a state election vote for the governor and the members of the legislature. In some states, people also vote for their judges.
And in the national election, people vote to elect the President of the United States. The President and Vice President run together in the election that is decided by the number of votes in the electoral college.