A recent study of high school students shows the percentage of females and males who have an after-school job. A simple random sample of high school students was interviewed. The students were asked whether they worked after school. Of the 250 females, 58 answered yes, as did 113 of the 380 males.

Part A: Construct and interpret a 95% confidence interval for the difference in population proportions of females and males who have an after-school job. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points) Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)