A 99% confidence interval was constructed to estimate the incidence of HIV in a certain county. The investigators reported a sample incidence of 0.02 and a margin of error of 0.01. (a) The researchers explained that there was a 99% chance that the population incidence of HIV was between 1% and 3%. Is this statement correct? Explain briefly. (b) The researchers also explained that the probability that the method they used in construct- ing the confidence interval captured the population incidence of HIV was 99%. Is this statement correct? Explain briefly