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The confidence interval for p is\(0.179 < p < 0.321\).

Formula for sample proportion is:

\(\hat p = \frac{{{\rm{upper confidence limit}} + {\rm{lower confidence limit}}}}{2}\)

From the given confidence interval, thelower confidence limit is 0.179 and upper confidence limit is 0.321.

Substituting values,

\(\begin{array}{c}\hat p = \frac{{0.3Step 3: Find the value of margin of error21 + 0.179}}{2}\\ = 0.25\end{array}\)

Hence, the sample proportion is 0.25.

Formula for margin of error is:

\(\begin{array}{c}E = \frac{{{\rm{upper confidence limit}} - {\rm{lower confidence limit}}}}{2}\\ = \frac{{0.321 - 0.179}}{2}\\ = 0.071\end{array}\)

Hence, the margin of error is 0.071.

The confidence interval in the form of\(\hat p \pm E\)is given as:

\(\begin{array}{c}\hat p - E < p < \hat p + E\\0.25 - 0.071 < p < 0.25 + 0.071\\0.179 < p < 0.321\end{array}\)

Therefore, the confidence interval in the format \(\hat p{\rm{ }} \pm {\rm{ }}E\)is \(0.25 \pm 0.071\).