To determine if a malpractice lawsuit is more likely to follow certain types of

Question

To determine if a malpractice lawsuit is more likely to follow certain types of surgeries, random samples of three different types of surgeries were studied, and the following data resulted.

Test the hypothesis that the percentages of the surgical operations that lead to lawsuits are the same for each of the three types.

(a) Use the 5 percent level of significance.
(b) Use the 1 percent level of significance.

Type of Operation Number Sampled Number Leading to a Lawsuit 400 Heart surgery 16 300 Brain surgery 19 300 Appendectomy

Explanation / Answer

from above:

for above chi stat 6.031 ; and 2 degree of freedom ; p value = 0.049

a) as p vlaue is less then 0.05; we reject null hypothesis that  surgical operations that lead to lawsuits are the same for each of the three types

b) as p vlaue is greater then 0.01; we can not reject null hypothesis that  surgical operations that lead to lawsuits are the same for each of the three types

Observed O not lawsuit lawsuit Total heart surgery 384 16 400 brain surgery 281 19 300 Appendectomy 293 7 300 Total 958 42 1000 Expected E=rowtotal*column total/grand total not lawsuit lawsuit Total heart surgery 383.200 16.800 400 brain surgery 287.400 12.600 300 Appendectomy 287.400 12.600 300 Total 958 42 1000 chi square =(O-E)^2/E not lawsuit lawsuit Total heart surgery 0.002 0.038 0.040 brain surgery 0.143 3.251 3.393 Appendectomy 0.109 2.489 2.598 Total 0.253 5.778 6.031

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