Super Bowl Poll

Lyrics & Music © 2015 Lawrence M. Lesser

"Will the Steelers win next season's Super Bowl?"
We asked about 1,000 fans in a scientific poll.
The margin of error was 3%
That's roughly the reciprocal of the square root of n.

17% answered 'YES' in the poll,
But what could it be for the population as a whole?
At the 95% level of confidence
The interval goes from 14 to 20%.

If we multiply the sample size by a factor of 9,
The new margin of error that we could find
Would be a third as large as what we had before.
Thanks to the formula, you know the score.
Go Steelers!