Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not?a) Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. _____%

President and Opponent Height PRESIDENT HEIGHT HEIGHT OPP Polk 173 185 Harding 183 178 T. Roosevelt 178 175 Cleveland 180 180 Eisenhower 179 178 J. Kennedy 183 182 Buchanan 183 175 Garfield 183 187 Nixon 182 180 Reagan 185 177 Harrison 168 180 Johnson 192 180 Coolidge 178 180 G. H. W. Bush 188 173 Taft 182 178 Van Buren 168 180 G. W. Bush 183 185 Harrison 173 168 Mckinley 170 178 Wilson 180 182 Print Done