A random sample of 860 births at St. Jude's Hospital included 426 boys. The national proportion of newborn boy babies is 51. Use a 0.

1.     A random sample of 860 births at St. Jude's Hospital included 426 boys. The national proportion of newborn boy babies is 51.2%. Use a 0.01 significance level to test the claim that the proportion of newborn boy babies at this hospital is different than the national average.

a.      Construct a 95% confidence interval for the given sample.