3.2 For 239 golf tournaments on the PGA tour between 2004 and 2009, the economists D. Pope and M. Schweitzer evaluated risk aversion by comparing percentages of putts made when putting for a par versus putting for a birdie (Am. Econ. Rev. 101:

129-157, 2011). For 2828 pairs of putts taken from within 1 inch of each other

(from an average distance of about 50 inches) in the same tournament, the sample proportions made were 0.835 when putting for birdie and 0.880 when putting for par (thus avoiding the loss of a bogey). Construct a 95% confidence interval for the difference between the proportions in a corresponding conceptual population. State assumptions, and indicate a key way they do not apply for this study. (Chapter 11 presents more refined methods.)