Surgical complications: A medical researcher wants to construct an 80% confidence interval for the proportion of knee replacement surgeries that result in complications. Part 1 of 2 (a) An article in a medical journal suggested that approximately 9% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? A sample of 150 operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 using the estimate 0.09 for p. Part: 1 / 2 Part 2 of 2 (b) Estimate the sample size needed if no estimate of p is available. A sample of operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 when no estimate of p is available.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Surgical complications: A medical researcher wants to construct an 80% confidence interval for the proportion of knee replacement surgeries that result in
complications.
Part 1 of 2
(a) An article in a medical journal suggested that approximately 9% of such operations result in complications. Using this estimate, what sample size is
needed so that the confidence interval will have a margin of error of 0.03?
A sample of 150 operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 using the estimate 0.09 for p.
Part: 1 / 2
Part 2 of 2
(b) Estimate the sample size needed if no estimate of p is available.
A sample of
operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 when no
estimate of p is available.
Transcribed Image Text:Surgical complications: A medical researcher wants to construct an 80% confidence interval for the proportion of knee replacement surgeries that result in complications. Part 1 of 2 (a) An article in a medical journal suggested that approximately 9% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? A sample of 150 operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 using the estimate 0.09 for p. Part: 1 / 2 Part 2 of 2 (b) Estimate the sample size needed if no estimate of p is available. A sample of operations is needed to obtain an 80% confidence interval with a margin of error of 0.03 when no estimate of p is available.
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