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\begin{flushright}
Name \underline{\hspace{60mm}} \\ 
$\,$ \\
Student Number \underline{\hspace{60mm}}
\end{flushright}   
\vspace{2mm}

\begin{center}   
{\Large \textbf{STA 312 f2023 Quiz 11}}\\
\vspace{1 mm}
\end{center}   

\begin{enumerate}


\item (3 points) Consider a proportional hazards regression with two explanatory variables: a quantitative variable $x$, and actual time $t$.
   \begin{enumerate}
        \item Write the hazard function. \vspace{30mm}
        \item What happens to $e^{\beta_2 t}$? \vspace{30mm}
    \end{enumerate}


\item (2 points) \label{aliens} For the Area 51 data, you tested the effect of wearing a hat on the chances of being kidnapped by aliens. Fill in the table below. On your printout, circle the test statistic and $p$-value, and write ``Question~\ref{aliens}" beside them. \vspace{5mm}

\begin{center}               
\begin{tabular}{|c|c|c|} \hline
   &  & Reject $H_0$ at $\alpha=0.05$? \\
Chi-squared or $Z$ Statistic   & ~~~~~~~~~~$p$-value~~~~~~~~~~  & (Yes or No)\\
\hline
  &  &  \\ 
  &  &  \\ \hline
\end{tabular}
\end{center}               

\item (2 points) In plain, non-statistical language, what do you conclude from the test above? \vspace{40mm}


\item  (3 points)\label{sexdeath} For the \texttt{channing} data (survival in nursing homes), you plotted the estimated survival curves for male and female nursing home residents. Please attach the plot, and the code that produced it. Write ``Question~\ref{sexdeath}" beside the code.



\end{enumerate} 

\begin{center}\textbf{Please attach \emph{both} printouts.} Make sure your name is on them. \end{center}


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