A random sample of individuals participating in a survey in 2000 was asked "Do you favor or oppose the death penalty for murder?" The results were 130 out of 200 females favored capital punishment and 188 out of 250 males favored capital punishment. Find an approximate 95% confidence interval for the difference between the proportion of females and males that favor capital punishment. Based upon your confidence interval do you believe the proportion of males that favor capital punishment is greater than the proportion of females that favor capital punishment? Justify your answer