Solution Found!
The article “The Functional Outcomes of Total Knee
Chapter 5, Problem 5E(choose chapter or problem)
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?
Questions & Answers
QUESTION:
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?
ANSWER:
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
- 95% CI for the proportion of surgeries that result in complication within six months.
- 99 % CI for the proportion of surgeries that result in complication within six months.
- The level of confidence for the claim that the rate of complications is less than 8.5%.