A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The veterinarian surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The veterinarian then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. At the 10% significance level, can the veterinarian conclude the proportion of pit bulls that have tooth decay is different than the proportion of golden retrievers that have tooth decay?
A) No, because the confidence interval contains zero.
B) Yes, because the confidence interval contains zero.
C) No, because the confidence interval does not contain zero.
D) Yes, because the confidence interval does not contain zero.

Question

Quizplus · Accepted Answer

The confidence interval for the difference between two proportions includes zero, indicating there is no significant difference between the proportions of tooth decay in pit bulls and golden retrievers at the 10% significance level.

A Veterinarian Wants to Know If Pit Bulls or Golden