\begin{table}[htb]
$$
{
\def\arraystretch{3}
\begin{array}{||l|c||}
\hline
\mbox{Hip\'otesis}&\mbox{Regi\'on Cr\'{\i}tica}\\ \hline
\oldhip{p=p_0}{p\ne p_0}&|\hat{p}-p_0|\ge Z_{1-\frac{\alpha}{2}}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\ \hline
\oldhip{p=p_0}{p < p_0}&\hat{p}-p_0\le Z_{\alpha}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\ \hline
\oldhip{p=p_0}{p > p_0}&\hat{p}-p_0\ge Z_{1-\alpha}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\ \hline
\end{array}
}
$$
\caption{Contrastes sobre la proporci\'on}
\label{tapro1}
\end{table}

\begin{table}[htb]
$$
{
\def\arraystretch{3}
\begin{array}{||l|c||}
\hline
\mbox{Hip\'otesis}&\mbox{Regi\'on Cr\'{\i}tica}\\ \hline
\oldhip{p_1 = p_2}{p_1\ne p_2}&|\hat{p}_1-\hat{p}_2|\ge Z_{1-\frac{\alpha}{2}}\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1} + \frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\ \hline
\oldhip{p_1 = p_2}{p_1 < p_2}&\hat{p}_1-\hat{p}_2 \le Z_{1-\frac{\alpha}{2}}\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1} + \frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\ \hline
\oldhip{p_1 = p_2}{p_1 > p_2}&\hat{p}_1-\hat{p}_2 \ge Z_{1-\frac{\alpha}{2}}\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1} + \frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\ \hline
\end{array}
}
$$
\caption{Contrastes sobre dos proporciones}
\label{tapro2}
\end{table}

\vfill

\begin{table}[htb]
$$
\arraycolsep .5ex
\tabcolsep .5ex
\def\arraystretch{1.7}
\begin{array}{||l|c|c||}
\hline \mbox{Hip\'otesis}&\mbox{Estad\'{\i}stico}&\mbox{Regi\'on cr\'{\i}tica}\\ \hline

\multicolumn{3}{||c||}{\mbox{\bf Contrastes sobre $\mu $ con $\sigma$ conocida}}\\ \hline

\oldhip{\mu=\mu_0}{\mu\neq\mu_0}&
    Z=\frac{\med{x}-\mu_0}{\sigma}\sqrt{n}\quad\sim\quad N(0,1)&
    |Z|\ge \perb{Z}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu=\mu_0}{\mu < \mu_0}&&Z\leq -\cold{Z}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu=\mu_0}{\mu > \mu_0}&&Z\geq \cold{Z}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Contrastes sobre $\mu $ con $\sigma$ desconocida}}\\ \hline
\oldhip{\mu=\mu_0}{\mu\neq\mu_0}&
    t=\frac{\med{x}-\mu_0}{S_c}\sqrt{n}\quad\sim\quad t_{n-1}&
    |t|\ge \cda{t}{n-1}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu=\mu_0}{\mu < \mu_0}&&t\le -\cdd{t}{n-1}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu=\mu_0}{\mu > \mu_0}&&t\ge \cdd{t}{n-1}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Contrastes sobre $\sigma^2 $ con $\mu$ conocida}}\\ \hline
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2\neq\sigma_0^2}&
    \chi^2=\frac{nS^2_\mu}{\sigma_0^2}\quad\sim\quad \chi^2_n&
    \stack{\chi^2\leq \pda{\chi^2}{n}\quad\mbox{\sf U}}{\chi^2\geq \pdb{\chi^2}{n}}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2 < \sigma_0^2}&&\chi^2\leq \cdi{\chi^2}{n}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2 > \sigma_0^2}&S^2_{\mu}=\frac{\sum_{i=1}^n (x_i-\mu)^2}{n}&\chi^2\geq \cdd{\chi^2}{n}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Contrastes sobre $\sigma^2 $ con $\mu$ desconocida}}\\ \hline
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2\neq\sigma_0^2}&
    \chi^2=\frac{nS^2}{\sigma_0^2}\quad\sim\quad \chi^2_{n-1}&
    \stack{\chi^2\leq \pda{\chi^2}{n-1}\quad\mbox{\sf U}}{\chi^2\geq \pdb{\chi^2}{n-1}}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2 < \sigma_0^2}&&\chi^2\leq \cdi{\chi^2}{n-1}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma^2=\sigma_0^2}{\sigma^2 > \sigma_0^2}&&\chi^2\geq \cdd{\chi^2}{n-1}\\ \hline
%
\end{array}$$

\caption{Contrastes sobre una poblaci\'on Normal}
\label{tanor}
\end{table}
%\end{center}

\begin{table}[htb]
\arraycolsep .3ex
\tabcolsep .3ex
\def\arraystretch{1.7}
$$\begin{array}{||l|c|c||}
\hline \mbox{Hip\'otesis}&\mbox{Estad\'{\i}stico}&\mbox{Regi\'on cr\'{\i}tica}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Diferencias de medias con varianzas conocidas}}\\ \hline
%
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2\neq\delta_0}&
    \parbox[t][0pt]{29ex}{$Z=\frac{\med{x}-\med{y}-\delta_0}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}} \quad\sim\quad N(0,1)$}&
    |Z|\ge \perb{Z}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 < \delta_0}&&Z\leq -\cold{Z}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 > \delta_0}&&Z\geq \cold{Z}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Diferencias de medias con varianzas desconocidas e iguales}}\\ \hline
%
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2\neq\delta_0}&
    \parbox[t][0pt]{29ex}{$t=\frac{\med{x}-\med{y}-\delta_0}{\sqrt{\frac{n_1S_1^2+n_2S_2^2}{n_1+n_2-2}\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}}$}&
   |t| \ge \pdb{t}{n_1+n_2-2}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 < \delta_0}&&t\leq -\cdd{t}{n_1+n_2-2}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 > \delta_0}&t\quad\sim\quad t_{n_1+n_2-2}&t\geq \cdd{t}{n_1+n_2-2}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Diferencias de medias con varianzas desconocidas y distintas}}\\ \hline
%
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2\neq\delta_0}&
   \parbox[c][6ex]{29ex}{\raisebox{-5ex}{$t=\frac{\med{X}-\med{Y}-\delta_0}{\sqrt{\frac{S_{c_1}^2}{n_1}+ \frac{S_{c_2}^2}{n_2}}}\quad\sim\quad t_{\nu}$}}&
   |t| \ge \pdb{t}{\nu}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 < \delta_0}&
    \parbox[c][6ex]{31ex}{\raisebox{-13ex}{$\nu\! =\! \frac{{\left(\frac{S_{c_1}^2}{n_1}+\frac{S_{c_2}^2}{n_2}\right)}^2}{{\left(\frac{S_{c_1}^2}{n_1}\right)}^2\!\! \frac{1}{n_1+1} +{\left(\frac{S_{c_2}^2}{n_2}\right)}^2\!\! \frac{1}{n_2+1}}\! -\! 2$}}&
    t\leq -\cdd{t}{\nu}\\ \cline{1-1}\cline{3-3}
\oldhip{\mu_1-\mu_2=\delta_0}{\mu_1-\mu_2 > \delta_0}&
    \parbox[c][6ex]{1ex}{}&t\geq \cdd{t}{\nu}\\ \hline
%
\multicolumn{3}{||c||}{\mbox{\bf Igualdad de varianzas con medias desconocidas}}\\ \hline
%
\oldhip{\sigma_1^2=\sigma_2^2}{\sigma_1^2\neq\sigma_2^2}&
   {\cal F}=\frac{S^2_{c_1}}{S^2_{c_2}}\quad\sim\quad {\cal F}_{n_1-1,n_2-1}&
   \stack{{\cal F}\! \le \! \pda{{\cal F}}{n_1-1,n_2-1}\ \mbox{\sf U}}{{\cal F}\! \ge \! \pdb{{\cal F}}{n_1-1,n_2-1}}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma_1^2=\sigma_2^2}{\sigma_1^2 < \sigma_2^2}&&{\cal F}\! \le \! \cdi{{\cal F}}{n_1-1,n_2-1}\\ \cline{1-1}\cline{3-3}
\oldhip{\sigma_1^2=\sigma_2^2}{\sigma_1^2 > \sigma_2^2}&&{\cal F}\! \ge\! \cdd{{\cal F}}{n_1-1,n_2-1}\\ \hline
\end{array}$$
\caption{Contrastes sobre dos poblaciones Normales independientes}
\label{tadosnor}
\end{table}
%\end{center}