1. The problem asks for the 95% confidence interval for the true population proportion $p$.
2. The general formula for a confidence interval for a population proportion is:
$$p \pm z \times \sigma(p)$$
where $z$ is the z-score corresponding to the confidence level, and $\sigma(p)$ is the standard error of the proportion.
3. For a 95% confidence level, the z-score is approximately 1.96.
4. Therefore, the 95% confidence interval is:
$$p \pm 1.96 \times \sigma(p)$$
5. The options involving $\mu$ are incorrect because $\mu$ represents a population mean, not a proportion.
6. The option with $\pm 1.0 \sigma(p)$ is incorrect because the z-score for 95% confidence is 1.96, not 1.0.
Final answer: $p \pm 1.96 \sigma(p)$
Confidence Interval 650E13
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.