Which of these statements is a correct interpretation of the confidence level?
a) Approximately 99% of all students have pulled an all-nighter.
b) There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62.
c) If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter.
d) Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.