Every year, a large-scale poll of college freshmen conducted by the Higher Education Research Institute at UCLA asks their opinions about a variety of issues. In 2004, 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 feel overwhelmed by all they have to do (36.4% versus 16.3%).
a. If results for the population of college freshmen 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.