Question

use the given confidence interval to find the margin of error and the sample proportion. (0.721,0.749) e = 0.014 (type an integer or a decimal.) \hat{p}=\square (type an integer or a decimal.)

Explanation:

Step1: Find the sample proportion

The sample proportion \(\hat{p}\) is the mid - point of the confidence interval.
The formula for the mid - point of an interval \((a,b)\) is \(\hat{p}=\frac{a + b}{2}\).
Here \(a = 0.721\) and \(b=0.749\), so \(\hat{p}=\frac{0.721+0.749}{2}\).

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Answer:

\(\hat{p}=0.735\)