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