### Sample Size Required for Comparing Success Rates of Surgical Procedures#### Problem Statement:Two surgical procedures are widely used to treat a certain type of cancer. To compare the success rates of these procedures, random samples of patients who underwent each type of surgery were collected. The success metric is defined by the number of patients showing no recurrence of the disease after a one-year period. The recorded data is presented in the table below.##### Table: Success Rates for Surgical Procedures| Procedure | \( n \) | Number of Successes ||------------|---------|---------------------|| Procedure A| 100 | 73 || Procedure B| 100 | 92 |The objective is to determine the necessary sample size required to estimate the difference in the true success rates to within 0.10 with 95% reliability.#### Options:- \( n_1 = n_2 = 73 \)- \( n_1 = n_2 = 192 \)- \( n_1 = n_2 = 53 \)- \( n_1 = n_2 = 104 \)To solve this, one needs to apply the formula for sample size estimation for two proportions comparing the difference in success rates, along with considerations for confidence levels and margin of error.

We have, E = 1.96*sqrt[(p1(1-p1)/n1)+(p2(1-p2)/n2)]

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 the two types 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. How large a sample would be necessary in order to estimate the difference in the true success rates to within 0.10 with 95% reliability? Number of Successes Procedure A 100 73 Procedure B 100 92

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 the two types 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. How large a sample would be necessary in order to estimate the difference in the true success rates to within 0.10 with 95% reliability? Number of Successes Procedure A 100 73 Procedure B 100 92

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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