Are the career goals of young men changing? A Pew Poll asked young men about the importance they place on having a high-paying career or profession. Those men who said being successful in a high-paying career is “one of the most important things” or “very important” in their lives are included in the row labeled Career in the table. Pew asked this question in 1997 and again in 2011.

a. Find and compare the sample proportions of those who had high-paying career goals in 2011 and those who had such goals in 1997.

b. Find a 95% confidence interval for the difference in proportions who said a high-paying career was important, state whether the interval captures 0, and explain what that means. Assume that the conditions necessary for using the confidence interval are met.