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Two Surgical Procedures Are Widely Used to Treat a Certain

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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. n Number of Successes  Procedure A 10078 Procedure B 10092\begin{array} { l c c } \hline & n & \text { Number of Successes } \\\hline \text { Procedure A } & 100 & 78 \\\text { Procedure B } & 100 & 92 \\\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?

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