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Whitepunk [10]
3 years ago
5

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 ​respondent

s, 12​% chose chocolate​ pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret​, ModifyingAbove q with caret​, ​n, E, and p​ represent? If the confidence level is 99​%, what is the value of alpha​?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0
<h2>Answer with explanation:</h2><h2></h2><h3>The confidence interval for population proportion is given by :_</h3>

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

Where : \sqrt{\dfrac{p(1-p)}{n}}=E is the margin of error , n is the sample size , p is the sample proportion of success and \alpha is the significance level.

Given : Confidence level : 0.99

Then , Significance level : \alpha: 1-0.99=0.01

Sample size : n= 1500

Sample proportion of ​respondents chose chocolate​ pie: p=0.12

Margin of error : E=\pm0.05

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