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.

Respuesta :

Answer:

The conclusion about p using an absolute value inequality is  

   [tex]0.325 < p < 0.375[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample proportion is  [tex]\r p = 0.35[/tex]

    The  margin of error is  [tex]E = 0.025[/tex]

The confidence interval is mathematically represented as

           [tex]\r p -E < p < \r p +E[/tex]

=>        [tex]0.35 - 0.025 < p < 0.35 + 0.025[/tex]

=>      [tex]0.325 < p < 0.375[/tex]