Asked by Kirstan Woodward on Jun 29, 2024
Verified
It is estimated that 780,000 surgical site infections (SSIs) occur each year.SSIs are the second most common type of healthcare-associated infections in U.S.hospitals and account for an extra $3.5 to $10 billion in healthcare costs per year.The national SSIs rate is 1.9%.A Georgetown medical office was interested in determining if their SSI rate were smaller than the national average.Out of a sample of 277 patients in their study,only one infection occurred.What is the standard error of
?
A) 0
B) Around .004
C) Greater than .1
D) None of the above
Surgical Site Infections
Infections that occur after surgery in the part of the body where the surgery took place, potentially causing complications.
Standard Error
A statistical measure that quantifies the variation or dispersion of sample means around the population mean.
National Average
This term typically refers to the average value or measurement found by aggregating specific data across an entire nation, often used in contexts such as test scores or income levels.
- Acquire knowledge about the standard error in relation to the estimation of proportions.
Verified Answer
SE = sqrt[(p(1-p))/n]
where p is the proportion of patients who got an infection, and n is the sample size.
In this case, p = 1/277 = 0.0036.
SE = sqrt[(0.0036)(1-0.0036)/277] = 0.004
So, the standard error is around 0.004. Therefore, the best choice is B.
Learning Objectives
- Acquire knowledge about the standard error in relation to the estimation of proportions.
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