Question 10 of 10 • CA-Statistics and Probability B
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of these statements is a correct interpretation of the confidence level?
Answer
A
Approximately 95% of all animals in the shelter were adopted.
B
There is a 95% probability that the true proportion of all animals in the shelter that were adopted last month is between 0.12 and 0.24.
C
If many random samples of size 100 are selected from all records of animals in shelters, approximately 95% of the intervals would capture the true proportion that were adopted.
D
Approximately 95% of the sample proportions, based on random samples of size 100 from the population of all records of animals in shelters, will fall between 0.12 and 0.24.