A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie Among the 1000 respondents, $$ 11 \% $$ chose chocolate pie, and the margin of error was given as $$ \pm 4 $$ percentage points. What values do $$ \hat{p}, \hat{q}, n, E $$, and p represent? If the confidence level is $$ 90 \% $$, what is the value of $$ \alpha $$ ? The value of $$ \hat{p} $$ is the sample proportion. The value of $$ \hat{q} $$ is found from evaluating $$ 1-\hat{p} $$ The value of $$ n $$ is the sample size. The value of $$ E $$ is the margin of error. The value of $$ p $$ is the population proportion If the confidence level is $$ 90 \% $$, what is the value of $$ \alpha $$ ? $$ \alpha=\square $$ (Type an integer or a decimal. Do not round.)

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UpStudy AI · Accepted Answer

$$ \hat{p} = 0.11 $$  
$$ \hat{q} = 1 - \hat{p} = 0.89 $$  
$$ n = 1000 $$  
$$ E = 0.04 $$ (which represents a margin of error of $$ 4 \%$$)  
$$ p $$ represents the population proportion

The confidence level is $$ 90 \% $$, so the significance level is given by  
$$
\alpha = 1 - 0.90 = 0.1
$$
$$ \hat{p} = 0.11 $$ $$ \hat{q} = 0.89 $$ $$ n = 1000 $$ $$ E = 0.04 $$ $$ p $$ is the population proportion For a $$ 90\% $$ confidence level, $$ \alpha = 0.1 $$

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