Question

What does it mean if you use a sample of size 50 to construct a 95% Confidence interval for a population proportion? O A. If you construct 100 such intervals in the same manner, you would expect that 95 of the constructed intervals would contain the true population proportion. OB. The true population proportion is between 90% and 100%. OC. The true population proportion is less than 95% because the sample size is large enough to support this conclusion OD. There is a probability of 50% that the interval so constructed does contain the true population proportion
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Answer 1

A confidence interval gives us a range of values of which we are confident by a % which is equal to the level of confidence that the true population parameter is contained within these range of values. Also, if intervals are constructed in the same manner, then a % of them, equal to the confidence level, will have the true population parameter.

Therefore, Option A: If you construct 100 such intervals in the same manner, you would expect that 95 of the constructed intervals would contain the true population proportion.