Step 1

The percentage of responndents answered crime and violence \(\displaystyle={25}\%\)

\(\displaystyle{95}\%\) confidence interval margin of error \(\displaystyle={3}\%\)

Theformulato calculate the confidence interval is shown below

\(\displaystyle\text{Confidence Interval}=\text{Sample Statistic}\pm\text{Margin of Error}\)

Step 2

We know sample statistic is given to us as \(\displaystyle{25}\%\). So substituting the values we get the lower limit and upper limit of \(\displaystyle{95}\%\) confidence interval as shown below.

Lower Limit \(\displaystyle={22}\%\)

Upper Limit \(\displaystyle={28}\%\)

\(\displaystyle\text{Confidence Interval}=\text{Sample Statistic}\pm\text{Margin of Error}\)

\(\displaystyle\text{Lower Limit}=\text{Sample Statistic}-\text{Margin of Error}\)

\(\displaystyle\text{Lower Limit}={25}-{3}={22}\%\)

\(\displaystyle\text{Upper Limit}=\text{Sample Static}+\text{Margin of error}\)

\(\displaystyle\text{Upper Limit}={25}+{3}={28}\%\)

The percentage of responndents answered crime and violence \(\displaystyle={25}\%\)

\(\displaystyle{95}\%\) confidence interval margin of error \(\displaystyle={3}\%\)

Theformulato calculate the confidence interval is shown below

\(\displaystyle\text{Confidence Interval}=\text{Sample Statistic}\pm\text{Margin of Error}\)

Step 2

We know sample statistic is given to us as \(\displaystyle{25}\%\). So substituting the values we get the lower limit and upper limit of \(\displaystyle{95}\%\) confidence interval as shown below.

Lower Limit \(\displaystyle={22}\%\)

Upper Limit \(\displaystyle={28}\%\)

\(\displaystyle\text{Confidence Interval}=\text{Sample Statistic}\pm\text{Margin of Error}\)

\(\displaystyle\text{Lower Limit}=\text{Sample Statistic}-\text{Margin of Error}\)

\(\displaystyle\text{Lower Limit}={25}-{3}={22}\%\)

\(\displaystyle\text{Upper Limit}=\text{Sample Static}+\text{Margin of error}\)

\(\displaystyle\text{Upper Limit}={25}+{3}={28}\%\)