In a survey of 1000 women age 22 to 35 who work full time, 540 indicated that they would be willing to give up some personal time in order to make more money (USA Today, March 4, 2010). The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using a = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.