In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).

 

In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 39%39% with a margin of error of 2.5%2.5%. Describe the conclusion about p using an absolute value inequality.

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