11.2 Beliefs of new employees Every year, a large-scale poll of new employees conducted by the human resources management department at a consulting firm asks their opinions on a variety of issues. In 2015, although women were more likely to rate their time management skills as “above average,” they were also twice as likely as men to indicate that they frequently felt overwhelmed by all they have to do (38.4% versus 19.3%).

a. If results for the population of new employees were similar to these, would gender and feelings of being overwhelmed be independent or dependent?

b. Give an example of hypothetical population percentages for which these variables would be independent.