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...

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?

Construct a​ 95% confidence interval estimate of the percentage of presidents who were taller than their opponents.

If greater height was an​ advantage, then taller candidates should have won (more than,
less than,
exactly)
​50% of the elections. In this​ case, greater height (appears,
does not appear)
to be an advantage for presidential candidates because the confidence interval (does,
does not)
include​ 50%.

Extracted text: PRESIDENT HEIGHT HEIGHT OPP G. H. W. Bush 188 173 J. Kennedy 183 182 Taylor 173 174 Наyes 173 178 Garfield 183 187 J. Q. Adams 171 191 McKinley 170 178 Buchanan 183 175 Clinton 188 188 F. Roosevelt 188 182 Wilson 180 182 Truman 175 173 Jackson 185 171 Lincoln 193 188 Eisenhower 179 178 Carter 177 183 Harding 183 178 Polk 173 185 Cleveland 180 180 T. Roosevelt 178 175