Gender gap A presidential candidate fears he has a problem with women voters. His campaign staff plans to run a poll to assess the situation. Theyll randomly sample 300 men and 300 women, asking if they have a favorable impression of the candidate. Obviously, the staff cant know this, but suppose the candidate has a positive image with 59% of males but with only 53% of females. a) What sampling design is his staff planning to use? b) What difference would you expect the poll to show? c) Of course, sampling error means the poll wont reflect the difference perfectly. Whats the standard deviation for the difference in the proportions? d) Sketch a sampling model for the size difference in proportions of men and women with favorable impressions of this candidate that might appear in a poll like this. e) Could the campaign be misled by the poll, concluding that there really is no gender gap? Explain.
Applied Statistical Methods Chapter 2 Definitions/Notes Associations between Variables: Two variables measured on the same cases are associated if knowing the value of one of the variables tells you something that you would not otherwise know about the value of the other variable Response variable/dependent variable: variable being observed (or measured) Explanatory variable/independent variable: not affected by other variables Scatterplots: visualize the relationship between two quantitative variables What to look for in scatterplots: form of association (linear, curved, etc.), strength of association (amount of scatter), direction of association (positive, negative), special feature