Born between 1980 and 1990, Generation Next have lived in a post-Cold War world and a time of relative economic prosperity in America, but they have also experienced September 11th and the fear of another attack, two Gulf Wars, the tragedy at Columbine High School, Hurricane Katrina and the increasing polarization of public discourse. More than any who came before, Generation Next is engaged with technology and the vast majority is dependent upon it. Suppose that survey of 500 male and 500 female students in Generation Next, 345 of females and 365 of males reported that they decided to attend college in order to make more money.
Construct a 98% confidence interval for the difference in proportions of female and male students who decided to attend college in order to make more money. What does that mean to say that you are 98% confident?