Four surgical procedures currently are used to install pacemakers. If the patient does not need to return

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Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures, and collects the following numbers of patients from their own records:
Procedure Total A Clear 27 41 96 21 Return 11 11 15 46 56 142 Total 38 30 18 B.

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05. Referring to Table 12-8 above, show six steps of hypothesis testing as following: Show work.
A. Null and alternative hypothesis in sentences
B. Standard level of significance, alpha.
C. What table you use to find the critical value? What is the critical value?
D. Your decision rule or criterion for the final conclusion.
E. Calculation of the value of the value of the test statistics.

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