You are wrong. I bothered to include the dictionary definition. Sorry it didn’t suit your purposes, here are a few more:
: the greater quantity or share <the majority of the time
: the group or political party having the greater number of votes (as in a legislature)
Usage Note: When majority refers to a particular number of votes, it takes a singular verb: Her majority was five votes. His majority has been growing by 5 percent every year. When it refers to a group of persons or things that are in the majority, it may take either a singular or plural verb, depending on whether the group is considered as a whole or as a set of people considered individually. So we say The majority elects (not elect) the candidate it wants (not they want), since the election is accomplished by the group as a whole; but The majority of the voters live (not lives) in the city, since living in the city is something that each voter does individually. Majority is often preceded by great (but not by greater) in expressing emphatically the sense of “most of”: The great majority approved. The phrase greater majority is appropriate only when considering two majorities: He won by a greater majority in this election than in the last.
Sorry, when it comes to elections, a majority is 50% +1. Anything less is a minority - less than half.