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Exercise 3 The following Two-way Table presents data on two variables, Type of Surgery and Level of Com plication. There are three categories in Type of Surgery (Gastric-banding, Sleeve-gastrectomy and Gastric-bypass), and three categories in Level of Complication (Serious, Non-Life-Threat and None) The table presents the counts of patients in each level of Surgery by each level of Complication Level of Complication Type of Surgery Non-Life-Threat Serious None Gastric-banding 81 46 5253 Sleeve-gastrectomy 31 19 804 Gastric-by pass 606 325 8110 1. Find the marginal distribution of Type-of-Surgery in percents 2. Compute the conditional distribution of Type-of-Surgery, given Level-of-Complication is None. 3. Find the conditional distributions of Level-of-Complication, given each value of Type-of-Surgery (write your answer in a table). 4. Is the Level-of-Complication associated to Type-of-Surgery? explain your answer

Answer 1

Levl ot Cmpli cat en #Ererciae-3 Row TYpe ot Su | te -T Serious None TotdA 5253 Gartic-bandint 53 go & 1 46 Sleave gatretony 31 854 19 Gartric-by p 325 Slio 606 9041 124167 IS 275 390 718 Tt-s TO Marrowal distibuion os TYpe-o-SaY in pereants. #1 The T4pe ot Sargery Gastric by pr Gastne-bandin Sleae. astretenn percenta 35.28% &S uloo59.19% IS22S CRow Tot Not: pernt Tpe ot erey otal. Xtoo arand o tal #2The Ceondioual diatnbukon ot TYpe-ot Suroeyy Tevel -of- Compi caion None given T4peof Swrgery Condion Gastric-banding Slaase Gartric-by pas -gatreton o3708 37.08/ 57.24 LS O 9-5930.0 Sunyyon 5253o.37o 14167 Sou oDSb8 0118 -o.5794 14167 4167 Conditional dstributon o Level ot Complicaken 3 hl os Lonupheon/Gake boandin Canditonal distbuton Laredos CompkotNon-te-Treat Sersious Canditianal diAtn Noue atc bandi o.olS o.0085 46 o.764 5253 S390

avd ds Compt caton Slawe -aAre toy Level ot Coulicton Conditonal Nou-te-Thrut Semaus Naue distnbukm O.0 363 O.O222 9H15 の。 haf keved ob Complication Gasbi pes Non-ite-Treat Compti cation Senou Nin Cenditand O. 0670 o o359 324 9o4 0-8970 &llo 9641 (Gashic banding and Nou- Gibe abaen (HD Conidas Gastricbanding CAn-ute-Threat) S3&0X718 275 Gastric-bnng CASOn-Libehret) :.( Gaste-antin and Non-u -Threat) anocatiom) So mega The Ty pe Sure and Lavel s Compicabon associtid are A,B are a Tト (A8)キ(A) (B) Then NoE