12. A sampling survey was conducted to understand the level of support among Taiwan's citizens for a certain issue. The results, classified by gender, are shown in the table below:

\begin{center}
\begin{tabular}{ | l | c | c | }
\hline
 & Female Citizens & Male Citizens \\
\hline
Proportion supporting the issue $\hat{p}$ & 0.52 & 0.59 \\
\hline
Standard deviation of $\hat{p}$: $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ & 0.02 & 0.04 \\
\hline
\end{tabular}
\end{center}

Which of the following conclusions can be drawn from this sampling result?\\
(1) The proportion of male citizens in Taiwan supporting this issue is greater than the proportion of female citizens supporting this issue\\
(2) At a 95\% confidence level, the confidence interval for the proportion of female citizens in Taiwan supporting this issue is $[0.48, 0.56]$ (rounded to the second decimal place)\\
(3) The number of female citizens in this sample is less than the number of male citizens\\
(4) If gender is not distinguished, the proportion of people in this sample supporting the issue $\hat{p}$ is between 0.52 and 0.59\\
(5) If gender is not distinguished, the standard deviation of $\hat{p}$ in this sample $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ is between 0.02 and 0.04

\section*{Part II: Fill-in-the-Blank Questions (40 points)}
Instructions