A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s).

A recent study of high school students shows the percentage of females and males who took advanced math courses. A simple random sample of high school students was interviewed. The students were asked whether they had taken an advanced math course. Of the 150 females, 53 answered yes, as did 89 of the 275 males.

Part A:Construct and interpret a 98% confidence interval for the difference in population proportions of females and males who took advanced math courses. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s).

Part B:Does your interval from part A give convincing evidence of a difference between the population proportions? Explain.