Complete the statements to find the margin of error.

The sample size in this problem is [tex]$\square$[/tex] students.

Estimate the population proportion as [tex]$\hat{p} = \square$[/tex].

[tex]$1 - \hat{p} = \square$[/tex]

When the margin of error is calculated using the formula [tex]$E = z^{\star} \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex], to the nearest tenth of a percent, the result is [tex]$\square \%$[/tex].



Answer :

The sample size in this problem is [tex]\(100\)[/tex] students.

Estimate the population proportion as [tex]\(\hat{p} = 0.5\)[/tex].

[tex]\[ (1 - \hat{p}) = 1 - 0.5 = 0.5 \][/tex]

When the margin of error is calculated using the formula [tex]\(E = z^{\star} \cdot \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}\)[/tex],

To the nearest tenth of a percent, the result is [tex]\(9.8\%\)[/tex].