1. Identify the sample proportion: \hat{p}.
2. Calculate the value of Z for an 80% confidence interval: Z_{0.10}.
3. Compute the standard error: \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}.
4. Multiply the standard error by Z_{0.10}.
5. Add and subtract the result from the sample proportion \hat{p} to get the interval.
Answer:
\hat{p} \pm Z_{0.10} \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}