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.

nothing%

(Round to one decimal place as needed.)If greater height was an advantage, then taller candidates should have won

more than

exactly

less than

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%.

PRESIDENT	HEIGHT	HEIGHT OPP
Polk	173	185
J. Q. Adams	171	191
Buchanan	183	175
Pierce	178	196
Harrison	173	168
G. H. W. Bush	188	173
Cleveland	180	180
Coolidge	178	180
F. Roosevelt	188	182
Carter	177	183
Wilson	180	182
J. Adams	170	189
Clinton	188	188
Lincoln	193	188
Taft	182	178
G. W. Bush	183	185
J. Kennedy	183	182
Hoover	182	180
Garfield	183	187
Truman	175	173