A 95% confidence interval for a population proportion is computed to be [0.14,0.36].This means that each time we take a sample from this population,the sample proportion has a 95% chance of being between 0.14 and 0.36.

Question

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The correct interpretation of a 95% confidence interval is that if we were to take 100 different samples from the same population and compute the confidence interval for each sample, approximately 95 of those intervals would contain the true population proportion. We cannot say that any individual sample has a 95% chance of containing the population proportion, as it either does or does not contain the true value.

A 95% Confidence Interval for a Population Proportion Is Computed