A random sample of 861 births in a state included 421 boys.

Last updated: 7/6/2022

A random sample of 861 births in a state included 421 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.508. Do these sample results provide strong evidence against that belief? Construct a 95% confidence interval estimate of the proportion of boys in all births.