Question

in politics marketing etc we often want to eliminate a percentage or proportion p. one calculation in statistical polling is the margin of error-the largest(resonable)error that the poll could have. for example a poll result of 72% with a margun 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 chocate more than milk chocolate was 29% with a margin of error of 1.9% describe the conclusion about p using an absolute value inequality

Answer 1

We have that the proportion of people that like dark chocolate more than milk chocolate is 29%, with a margin of error of 1.9%. Then we would have:

$\begin{gathered} 29-1.9

then, the absolute value inequality that most looks like this is the following:

[tex]|p-1.9|<29$