This poll (of the Lake Wobegon effect) can be interpreted in two ways:
- Respondents suffer from "Illusory superiority, a that causes people to overestimate their positive qualities and abilities and to underestimate their negative qualities, relative to others." The question and results (>50% cannot be smarter!) are obviously incompatible with reality, which is why it's called illusory!
- Respondents failed to coordinate their answers (yes/no) to arrive at a 50/50 balance. Although many people may feel that they are smart, most of them are unwilling to say that they are smartER when they are in a group of peers. Respondents who were thinking that way would be interested in voting 50/50, but they had to choose yes or no. The fact that results are not 50/50 indicates that respondents were NOT all pursuing it (e.g, 16 people thought they were smarter), or that they failed to coordinate -- an easy problem to solve if you could look at the results before voting.