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The article “The Functional Outcomes of Total Knee

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 5E Chapter 5.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

The article “The Functional Outcomes of Total Knee Arthroplasty” (R. Kane, K. Saleh, et al.. Journal of Bone and Joint Surgery, 2005:1719-1724) reports that out of 10,501 surgeries, 859 resulted in complications within six months of surgery.

a. Find a 95% confidence interval for the proportion of surgeries that result in complications within six months.

b. Find a 99% confidence interval for the proportion of surgeries that result in complications within six months.

c. A surgeon claims that the rate of complications is less than 8.5%. With what level of confidence can this claim be made?

Step-by-Step Solution:

Solution:

Step 1of 3:

An article report that out of 10,501 surgeries, 859 resulted in complications within six months of surgery.

We have to find

  1. 95% CI for the proportion of surgeries that result in complication within six months.
  2. 99 % CI for the proportion of surgeries that result in complication within six months.
  3. The level of confidence for the claim that the rate of complications is less than 8.5%.

Step 2 of 3

Chapter 5.2, Problem 5E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The article “The Functional Outcomes of Total Knee