A simple random sample of 120 vet clinics in the Midwest reveals that the vast majority of clinics only treat small pets (dogs,cats,rabbits,etc. )and not large animals (cows,horses,etc. ).Of the 120 clinics sampled,88 responded that they do not treat large animals at their clinic.What is the value of the standard error of ?
A)0.02
B)0.03
C)0.04
D)0.05

Question

A simple random sample of 120 vet clinics in the Midwest reveals that the vast majority of clinics only treat small pets (dogs,cats,rabbits,etc. )and not large animals (cows,horses,etc. ).Of the 120 clinics sampled,88 responded that they do not treat large animals at their clinic.What is the value of the standard error of  ?
A)0.02 
B)0.03 
C)0.04 
D)0.05

Quizplus · Accepted Answer

The formula for standard error of proportion is SE = sqrt((p(1-p))/n), where p is the proportion of successes (in this case, clinics that do not treat large animals) and n is the sample size. Using the values given, the proportion is 88/120 = 0.7333 and the sample size is 120. Plugging in these values into the formula gives SE = sqrt((0.7333*(1-0.7333))/120) ≈ 0.0398, which rounds to 0.04. Therefore, the answer is C) 0.04.

A Simple Random Sample of 120 Vet Clinics in the Midwest