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. 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.

1. State the null hypothesis:
2. State the alternative hypothesis:
3. The test will involve _________ degrees of freedom.
4. The overall or mean proportion of clear operations is __________.
5. The expected cell frequency for the Procedure A/Clear cell is __________.
6. The expected cell frequency for the Procedure D/Return cell is __________.
7. The critical value of the test is ________.
8. The value of the test statistic is _________.
9. The p value is ______.
10. What is your conclusion?