10-84. O An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273–279) considered arthro- scopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use a = 0.05. What is the P-value? (b) Calculate a one-sided 95% confidence bound on the differ- ence in proportions that can be used to answer the question in part (a).

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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10-84. O An article in Knee Surgery, Sports Traumatology,
Arthroscopy (2005, Vol. 13, pp. 273–279) considered arthro-
scopic meniscal repair with an absorbable screw. Results
showed that for tears greater than 25 millimeters, 14 of 18
(78%) repairs were successful, but for shorter tears, 22 of 30
(73%) repairs were successful.
(a) Is there evidence that the success rate is greater for longer
tears? Use a = 0.05. What is the P-value?
(b) Calculate a one-sided 95% confidence bound on the differ-
ence in proportions that can be used to answer the question
in part (a).
Transcribed Image Text:10-84. O An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273–279) considered arthro- scopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use a = 0.05. What is the P-value? (b) Calculate a one-sided 95% confidence bound on the differ- ence in proportions that can be used to answer the question in part (a).
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