Question

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?
-Approximately 95% of all animals in the shelter were adopted.
-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.
-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.
- 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.

Answer 1

The correct interpretation of the confidence level is: 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. Therefore, the answer is option C.

Explanation: