Based on a simple random sample of 1440 college students, a 97%
confidence interval for the percentage of students who receive
financial aid is reported as 82.99% ±± 2.5%. Which of the following
is/are correct interpretation(s) of this confidence interval?There
may be more than one correct answer; you must check all correct
answers in order to get credit for this problem.
A. If we select an individual from the population,
there is a 97% probability that this individual is one of the of
students who receive financial aid.
B. In any simple random sample of 1440 college
students from the population, there is a 97% probability that the
percentage of students who receive financial aid in the sample is
within 2.5% of the percentage of students who receive financial aid
in the entire population.
C. There is a 97% probability that the true
percentage of students who receive financial aid is between 80.49%
and 85.49%.
D. There is a 97% probability that the true
percentage of students who receive financial aid is within 2.5% of
82.99%.
E. The percentage of college students in the
population of students who receive financial aid is between 80.49%
and 85.49%.
F. In 97% of all samples of size 1440 from this
population, the percentage of students who receive financial aid is
between 80.49% and 85.49%.
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