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

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3 years ago

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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] · Answer 1 · 2021-11-15T09:58:38+03:00

<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 : $E=\pm0.05$

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

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