Question

use the given confidence interval to find the margin of error and the sample proportion. (0.599,0.629) e = 0.015 (type an integer or a decimal.) \\( \hat { p } = \\) (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 \(a = 0.599\) and \(b=0.629\), so \(\hat{p}=\frac{0.599+0.629}{2}\).

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Answer:

\(\hat{p}=0.614\)