the standard error to be different, Biology

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Out of 67,410 randomly selected surgeries tracked in a study in the UK, 2832 were followed by surgical site infections.

a. What is the best estimate of the probability of an infection following surgery in the UK?

b. What is the standard error of this estimate?

c. If the study had followed only 674 surgeries, how would you expect the standard error to be different?

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