\documentclass[12pt]{article} 
%\usepackage{amsbsy} % for \boldsymbol and \pmb 
%\usepackage{graphicx} % To include pdf files!
\usepackage{amsmath}
\usepackage{amsbsy}
\usepackage{amsfonts}
%\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue, citecolor=blue, urlcolor=blue]{hyperref} % For links
\usepackage{fullpage}           % Good for US Letter paper

\topmargin=-0.75in
\textheight=9.5in
\usepackage{fancyhdr} 
\renewcommand{\headrulewidth}{0pt}  % Otherwise there's a rule under the header
\setlength{\headheight}{15.2pt}
\fancyhf{}
\pagestyle{fancy} 
\cfoot{Page \thepage {} of 2}
%

% \pagestyle{empty} % No page numbers

\begin{document}
% \enlargethispage*{1000 pt} 

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

\begin{center}   
{\Large \textbf{STA 312 f2023 Quiz 10}}\\
\vspace{1 mm}
\end{center}   

\begin{enumerate}

\item (6 points) Prove $S(t) = e^{-\int_0^t h(y) \, dy}$. This is a fact from the formula sheet. You may use anything on the formula sheet \emph{except} what you are proving. 

\pagebreak %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\item \label{R} In your analysis of the \texttt{veteran} data, you fit a model with just experimental treatment, cell type (type of cancer) and Karnofsky score. You found that controlling for experimental treatment and Karnofsky score, the risk of death did depend on cell type. Following that finding up with pairwise comparisons, you tested for a difference between adenocarcinoma and large cell cancer.

        \begin{enumerate}
            \item (1 point) Fill in the table below.
\begin{center}               
\begin{tabular}{|c|c|c|c|} \hline
$Z$ or Chi-squared   & ~~~~~$p$-value~~~~~  & Reject $H_0$? & Statistically Significant? \\
Statistic (a number)   &      (a number)      & (Yes or No)             & (Yes or No)                \\
\hline
  &  & & \\ 
  &  & & \\ \hline
\end{tabular}
\end{center} 

\noindent
On your printout, circle the test statistic value and write ``Question~\ref{R}" beside it.


\vspace{10mm}

            \item (2 points) State the conclusion in plain, non-statistical language. Use the word ``adjusting." \vspace{100mm}
            \item (1 point) Allowing for Karnofsky score and treatment, the risk of death for a patient with adenocarcinoma is estimated to be \underline{\hspace{15mm}} times as great as the risk for a patient with large cell cancer.

        \end{enumerate} % End cell type follow-up question.

\end{enumerate} % End of questions

\vspace{20mm}

\begin{center}\textbf{Please attach your printout for the \texttt{veteran} data.} Make sure your name is on it. \end{center}


\end{document}