Question

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 (reasonble) 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 35% with a margin of error of 2.5%. Describe the conclusion about p using an absolute value inequality.

Answer 1

Answer:

The conclusion about p using an absolute value inequality is  

   $0.325 < p < 0.375$

Step-by-step explanation:

From the question we are told that

   The  sample proportion is  $\r p = 0.35$

    The  margin of error is  $E = 0.025$

The confidence interval is mathematically represented as

           $\r p -E < p < \r p +E$

=>        $0.35 - 0.025 < p < 0.35 + 0.025$

=>      $0.325 < p < 0.375$