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. A 95% confidence interval for p, the proportion of veterinary clinics that do not treat large animals would be wider. would be the same length. would be narrower. could be wider or narrower.
sample Proportion, ,q=1-0.733=0.267
95% confidence limit =
=
[0.6542,0.8125]
95% confidence limit lies between 0.6542 and 0.8125.
95% confidence interval for p, the proportion of veterinary clinics that do not treat large animals would be narrower between 0.6542 and 0.8125.
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