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? O Approximately 95% of all animals in the shelter were adopted. O 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. O 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. O 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.
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? O Approximately 95% of all animals in the shelter were adopted. O 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. O 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. O 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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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?
O Approximately 95% of all animals in the shelter were adopted.
O
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.
O 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.
O 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.
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