The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to a random sample of 120 veterinary clinics throughout the country and of these, 88 responded that they do not treat large animals.

The standard error SE of the sample proportion Image for The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportio of clinics that do not treat large animals, is
A. 0.02.
B. 0.03.
C. 0.04.
D. 0.05.

Question

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ChiKesselman ChiKesselman · Answer 1 · 2020-03-12T04:51:51+01:00

Answer:

Option C) 0.04

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of responded that they do not treat large animals , x = 88

Formula:

[tex]\hat{p} = \dfrac{88}{120} = \dfrac{52}{400} = 0.734[/tex]

Standard error:

[tex]S.E= \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Putting the values, we get,

[tex]S.E= \sqrt{\dfrac{0.734(1-0.734)}{120}}=0.04[/tex]

Thus, the correct answer is

Option C) 0.04