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Darya
4 months ago
13

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t

he 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.
Mathematics
1 answer:
Inessa [12.5K]4 months ago
7 0

Answer:

La conclusión sobre p utilizando una desigualdad de valor absoluto es

0.325 < p < 0.375

Explicación paso a paso:

Según el enunciado, nos informan que

La proporción de la muestra es \r p = 0.35

El margen de error es E = 0.025

El intervalo de confianza se representa matemáticamente como

\r p -E < p < \r p +E

=> 0.35 - 0.025 < p < 0.35 + 0.025

=> 0.325 < p < 0.375

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