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.
|
Type of Operation
|
Number Sampled
|
Number Leading to a Lawsuit
|
|
Heart surgery
|
400
|
16
|
|
Brain surgery
|
300
|
19
|
|
Appendectomy
|
300
|
7
|
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.