Suppose the population is women at least 35 years of age who are pregnant with a fetus affected by Down syndrome. We are interested in testing positive on a noninvasive screening test for fetuses affected by Down syndrome in women at least 35 years of age. In an experiment, suppose 52 of 60 women tested positive. Obtain a 95% confidence interval for the true proportion of women at least 35 years of age who are pregnant with a fetus affected by Down syndrome who will receive positive test results from this procedure.