Solve the exercise.(In the other image, this is the correct answer, just to check) 1) The parameters of interest are the proportion of successes of surgical repairs for different tears, p. and p:2) H; :P1 =P23) H :P > P24) Test statistic iswhereA1, 1A=1.65 for a = 0.05Z9055) Reject the null hypothesis if z: >where6)18301422X2 =0.73X1 =0.7814 + 2218 + 30=0.750.78 - 0.73=0.3870.75(1- 0.75) 18* 3017) Conclusion: Because 0.387 < 1.65, we fail to reject the null hypothesis at the 0.05 level of significance.P-value = [1- P(Z < 0.387)] = 1 - 0.6517 = 0.35b) 95% confidence interval on the difference:SP:- P:0.78(1- 0.78) 0.73(1- 0.73)(0.78- 0.73) - 1.65,Sp- P:1830- 0.159 sp. - P:Because this interval contains the value zero, there is not enough evidence to conclude that the success rate p, exceeds 10-84. + An article in Knee Surgery, Sports Traumatology,Arthroscopy (2005, Vol. 13, pp. 273–279) considered arthro-scopic meniscal repair with an absorbable screw. Resultsshowed 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 longertears? 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 questionin part (a).

a) Consider that p1, p2 is the true success rate for tears greater than 25 millimeters and shorter…

Answered: 10-84. + An article in Knee Surgery,…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

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An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results and surgical technique," (2005, Vol. 13, pp. 273-279) cites a success rate of 1% for meniscal tears with a rim width of less than 3 mm, and a 1% success rate for tears from 3-6 mm. If you are unlucky enough to suffer a meniscal tear of less than 3 mm on your left knee, and one of width 3-6 mm on your right knee, what is the probability that you have exactly one successful surgery? assume surgieries are independent.
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