For the following problem, refer to the contingency table for U.S. surgeons, cross classified by specialty and base of practice shown below. OfficeHospitalOtherTotalGeneral Surgery24,12812,2251,65838,011Obstetrics/Gynecology24,1506,7341,14032,024Orthopedics13,3644,24841418,026Ophthalmology12,3282,69451815,540Total73,97025,9013,730103,601a) Find the conditional distribution of base of practice by specialty. OfficeHospitalOtherTotalGeneral Surgery Obstetrics/Gynecology Orthopedics Ophthalmology b) Find the marginal distribution of base of practice. OfficeHospitalOtherTotal c) Is there an association between base of practice and specialty? Answer yes or no. d) Without doing further calculations, use your answer from part c) to answer true or false to the following statement. "The conditional distributions of specialty by base of practice are not identical."

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For the following problem, refer to the contingency table for U.S. surgeons, cross classified by specialty and base of practice shown below.

	Office	Hospital	Other	Total
General Surgery	24,128	12,225	1,658	38,011
Obstetrics/Gynecology	24,150	6,734	1,140	32,024
Orthopedics	13,364	4,248	414	18,026
Ophthalmology	12,328	2,694	518	15,540
Total	73,970	25,901	3,730	103,601

a) Find the conditional distribution of base of practice by specialty.

	Office	Hospital	Other	Total
General Surgery
Obstetrics/Gynecology
Orthopedics
Ophthalmology

b) Find the marginal distribution of base of practice.

Office	Hospital	Other	Total

c) Is there an association between base of practice and specialty? Answer yes or no.

d) Without doing further calculations, use your answer from part c) to answer true or false to the following statement. "The conditional distributions of specialty by base of practice are not identical."

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