A clinical trial is run to evaluate the effectiveness of a new drug to prevent preterm delivery. A total of n = 250 pregnant women agree to participate and are randomly assigned to receive either the new drug or a placebo, and they are followed through the course of pregnancy. Among 125 women receiving the new drug, 24 deliver preterm; among 125 women receiving the placebo, 38 deliver preterm. Construct a 95% confidence interval for the difference in proportions of women who deliver preterm.

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