3. In a random sample of 500 new births in the United States, 41,2% were to unmarried women, while in a random sample of 400 new births in the United Kingdom, 46.5% were to unmarried women.

a)Calculate a 95% confidence interval for the difference in the proportions of new births to unmarried women in the United States and the United Kingdom.

(b) Does the confidence interval support the belief by a UN health care statistician that the of new births to unmarried women is different in the United States and the United Kingdom? Explain.