Born between 1980 and 1990, Generation Next is engaged with technology, and the vast majority is dependent upon it. Suppose that in a survey of 500 female and 500 male students in Generation Next, 345 of the females and 365 of the males reported that they decided to attend college in order to make more money.
a. Construct a 98% confidence interval for the difference in the proportions of female and male students who decided to attend college in order to make more money.
b. What does it mean to say that you are "98% confident"?
c. Based on the confidence interval in part a, can you conclude that there is a difference in the proportions of female and male students who decided to attend college in order to make more money?