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In a random sample of 12,447 hip replacement or revision surgery procedures nationwide, 162 patients developed a surgical site infection. Verify that the sample is

In a random sample of 12,447 hip replacement or revision surgery procedures nationwide, 162 patients developed a surgical site infection.

Verify that the sample is sufficiently large to use it to construct a confidence interval for that proportion.
Construct a 95% confidence interval for the proportion of all patients undergoing a hip surgery procedure who develop a surgical site infection.

Please explain/show work

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