Question: In a random sample of 12,447 hip replacement or revision surgery procedures nationwide, 162 patients developed a surgical site infection.
a. Give a point estimate of the proportion of all patients undergoing a hip surgery procedure who develop a surgical site infection.
b. Verify that the sample is sufficiently large to use it to construct a confidence interval for that proportion.
c. Construct a 95% confidence interval for the proportion of all patients undergoing a hip surgery procedure who develop a surgical site infection.