Two Surgical Procedures Are Widely Used to Treat a Certain

Essay

Two surgical procedures are widely used to treat a certain type of cancer. To compare the success rates of the two procedures, random samples of surgical patients were obtained and the numbers of patients who showed no recurrence of the disease after a 1-year period were recorded. The data are shown in the table. $$\begin{array} { l c c } \hline & n & \text { Number of Successes } \\\hline \text { Procedure A } & 100 & 83 \\\text { Procedure B } & 100 & 81 \\\hline\end{array}$$ How large a sample would be necessary in order to estimate the difference in the true success rates to within .10 with 95% reliability?