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A researcher would like to determine if the proportion of patients who indicate that they are happy with a hospital emergency room service is significantly different for those who receive treatment from a female nurse rather than a male nurse. As patients are admitted for treatment, they are randomly assigned to a nurse and prior to discharge are asked to indicate if they were happy or unhappy with the treatment they received. The following results were obtained:
Female Nurse
Male Nurse
n = 35
n = 35
Number Happy: 21
Number Happy: 22
Find a 99% confidence interval for the difference of treatment proportions.
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