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.If a 95% confidence interval were calculated instead of 90% confidence interval,what would happen to the width of the confidence interval?
A)It would be narrower.
B)It would stay the same.
C)It would be wider.
D)This cannot be determined from the information given.

Question

Quizplus · Accepted Answer

Increasing the confidence level from 90% to 95% increases the level of confidence in the estimated proportion of vet clinics that only treat small animals. However, this increase in confidence comes at the cost of a wider confidence interval, as the margin of error must be larger to achieve a higher level of confidence. Therefore, the width of the confidence interval would be wider if a 95% confidence interval were calculated instead of a 90% confidence interval.

A Simple Random Sample of 120 Vet Clinics in the Midwest