Question

11 multiple choice 4 points
determine the margin of error.
in a survey of 500 residents 300 were opposed to the use of photo cops for issuing traffic tickets
find the margin of error that corresponds to a 95% confidence interval for the proportion of residents that are opposed to the use of photo - cops for issuing traffic tickets
0.03
0.40
0.05
0.60
0.04

Explanation:

Step1: Calculate sample proportion

The sample proportion \(\hat{p}=\frac{300}{500} = 0.6\), and \(n = 500\). For a \(95\%\) confidence interval, the critical value \(z\) is \(1.96\).

Step2: Calculate margin of error formula

The formula for margin of error \(E=z\sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}\).
Substitute \(\hat{p}=0.6\), \(n = 500\), \(z = 1.96\) into the formula:

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Answer:

\(0.04\)