Among births, is the proportion of males the same as the proportion of females? A random sample of births in a major metropolitan area found 1345 boys among 2546 children. A 99% confidence interval for p the
true proportion of male births in this population is (0.5028, 0.5538).
(a) Based on the confidence interval, is there convincing evidence that the true proportion of male births in
this population differs from 0.5? Explain.
(b) What information is provided by the confidence interval that would not be provided by a significance
test?