In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9% . Describe the conclusion about p using an absolute value inequality.

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07-08-2022
Mathematics

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In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9% . Describe the conclusion about p using an absolute value inequality.

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-08-09T13:32:10-04:00

The conclusion for p, from the confidence interval, using an absolute value inequality is:

[tex]|p - 0.27| \leq 0.019[/tex]

What is a confidence interval?

A confidence interval is given by the estimate plus minus the margin of error. As an inequality, we have that the absolute value of the difference between the proportion and the estimate is of at most the margin of error, that is:

[tex]|p - E| \leq M[/tex]

For this problem, the estimate and the margin of error are:

E = 0.27, M = 0.019.

Hence the inequality is:

[tex]|p - 0.27| \leq 0.019[/tex]

More can be learned about confidence intervals at https://brainly.com/question/25890103

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Sagot :

What is a confidence interval?

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