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USA Today provided a “snapshot” illustrating poll results from 21,944 subjects.

ID: 3133476 • Letter: U

Question

USA Today provided a “snapshot” illustrating poll results from 21,944 subjects. The illustration showed that 43% answered, “yes” to this question: “Would you rather have a boring job than no job?” The margin of error was given as ±1 percentage point.

What important feature of the poll was omitted? (Hint #1 - Since the margin of error is given, a confidence interval could easily be determined. The answer is not "the confidence interval.") (Hint #2 - While we don't know the method of sampling, it's not necessary to understand the results.

We can assume that a proper sampling technique was used.) Describe, in your own words, what the statement from the USA Today poll means, “The margin of error is ±1 percentage point.”

Explanation / Answer

proportion p=43%=0.43

"the margin of error is ± 1 percentage point" means proportion varies from 0.43-0.01=0.42 to 0.43+0.01=0.44