11. Refer to the accompanying data set of 20 randomly selected presidents. 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? 1 Click the icon to view the table of heights. Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. %

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11. Refer to the accompanying data set of 20 randomly selected presidents. 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?
1 Click the icon to view the table of heights.
Construct a 95% confidence interval estimate of the percentage of presidents who were taller
than their opponents.
% <p<[
(Round to one decimal place as needed.)
%
If greater height was an advantage, then taller candidates should have won
(1)
50% of the elections. In this case, greater height (2)
to
be an advantage for presidential candidates because (3).
1: President and Opponent Heights (cm)
PRESIDENT
HEIGHT
HEIGHT OPP
Harrison
168
180
Wilson
180
182
Pierce
178
196
G. W. Bush
183
185
Johnson
192
180
Hoover
182
180
F. Roosevelt
188
182
Nixon
182
180
Lincoln
193
188
Polk
173
185
Jackson
185
171
Garfield
183
187
Reagan
T. Roosevelt
185
177
178
175
Taft
182
178
Jefferson
189
170
Eisenhower
179
178
G. H. W. Bush
J. Q. Adams
188
173
171
191
McKinley
170
178
(1) O exactly
(2)
appears
more than
O does not appear
less than
50% is below the interval's lower limit.
50% is above the interval's upper limit.
the confidence interval includes 50%.
Transcribed Image Text:11. Refer to the accompanying data set of 20 randomly selected presidents. 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? 1 Click the icon to view the table of heights. Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. % <p<[ (Round to one decimal place as needed.) % If greater height was an advantage, then taller candidates should have won (1) 50% of the elections. In this case, greater height (2) to be an advantage for presidential candidates because (3). 1: President and Opponent Heights (cm) PRESIDENT HEIGHT HEIGHT OPP Harrison 168 180 Wilson 180 182 Pierce 178 196 G. W. Bush 183 185 Johnson 192 180 Hoover 182 180 F. Roosevelt 188 182 Nixon 182 180 Lincoln 193 188 Polk 173 185 Jackson 185 171 Garfield 183 187 Reagan T. Roosevelt 185 177 178 175 Taft 182 178 Jefferson 189 170 Eisenhower 179 178 G. H. W. Bush J. Q. Adams 188 173 171 191 McKinley 170 178 (1) O exactly (2) appears more than O does not appear less than 50% is below the interval's lower limit. 50% is above the interval's upper limit. the confidence interval includes 50%.
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