posted by Mary on .
Which of the following statements best describes the uncertainty associated with a 95% confidence interval for a population proportion, computed from a simple random sample?
A. We don't know whether the particular confidence interval is successful or not, but 95% of researchers are happy using this type of interval.
B. The 95% confidence interval successfully captures the true population proportion; we just don't know where in the interval it may actually be.
C. We don't know whether the particular confidence interval is successful or unsuccessful, but the success rate of the confidence interval procedure over all possible samples that could have been drawn is 95%.
D. The confidence interval successfully captures 95% of the true values of the population proportion.
I'll give you a hint to help you make the selection:
A 95% confidence interval means that there is a 95% probability that the true population proportion lies within the confidence interval.