Using the Birth Weight data set

(a) estimate the proportion of low weight babies for mothers who smoked during pregnancy.

(b) estimate the standard error of the estimate of the proportion of low weight babies for mothers who smoked during pregnancy.

(c) estimate the proportion of low weight babies for mothers who did not smoke during pregnancy.

(d) estimate the standard error of the estimate of the proportion of low weight babies for mothers who did not smoke during pregnancy.

(e) compute a 95% confidence interval for the difference of the proportion of low weight babies for mothers who smoked during pregnancy and mothers who did not smoke during pregnancy.