Consider the Data Table Showing Patients in a Trial in Which

Short Answer

Consider the data table showing patients in a trial in which 40 are given a placebo and 40 are given an experimental drug and the deaths are recorded over a period of 24 months.
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$\begin{array}{c}\underline { \text { Control} } \quad \quad \quad \quad \quad \quad \quad \quad\underline { \text { Exp. drug}}\\\begin{array}{cccc}\text { Time } & \text { \# at risk } & \text { Deaths } & \text { \# at risk } & \text { Deaths } \\3 & 40 & 9 & 40 & 1 \\6 & 30 & 7 & 37 & 2 \\9 & 21 & 6 & 34 & 3 \\12 & 15 & 5 & 30 & 4 \\24 & 10 & 3 & 26 & 2 \\36 & 6 & 1 & 24 & 1 \\48 & 5 & 1 & 23 & 0\end{array}\end{array}$ ​
a.Calculate the hazard ratio and 95% confidence interval for the hazard ratio.
b.Perform a χ² test on the hazard ratio. Present the χ² value, a range for the P-value it corresponds to, and the interpretation of your test.