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 Hayes 173 178 J. Adams 170 189 Van Buren 168 180 Eisenhower 179 178 Reagan 185 177 Mckinley 170 178 Clinton 188 188 Taylor 173 174 T. Roosevelt 178 175 Taft 182 178 J. Q. Adams 171 191 Garfield 183 187 Lincoln 193 188 Johnson 192 180 Jefferson 189 170 Carter 177 183 Pierce 178 196 Nixon 182 180 Harrison 173 168 Jackson 185 171 Print Done