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? | 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. %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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?
E 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.
D% <p<%
(Round to one decimal place as needed.)
If greater height was an advantage, then taller candidates should have won
50% of the elections. In this case, greater height
V to be an advantage for presidential candidates because the confidence interval
include
50%.
President and opponent height
PRESIDENT
HEIGHT
HEIGHT OPP
Taft
182
178
Reagan
185
177
Clinton
188
188
Cleveland
180
180
Lincoln
193
188
Harrison
168
180
Garfield
J. Q. Adams
F. Roosevelt
183
187
171
191
188
182
Eisenhower
179
178
Carter
177
183
Harrison
173
168
Pierce
178
196
Polk
173
185
Taylor
173
174
Johnson
192
180
Wilson
180
182
Jefferson
189
170
Transcribed Image Text: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? E 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. D% <p<% (Round to one decimal place as needed.) If greater height was an advantage, then taller candidates should have won 50% of the elections. In this case, greater height V to be an advantage for presidential candidates because the confidence interval include 50%. President and opponent height PRESIDENT HEIGHT HEIGHT OPP Taft 182 178 Reagan 185 177 Clinton 188 188 Cleveland 180 180 Lincoln 193 188 Harrison 168 180 Garfield J. Q. Adams F. Roosevelt 183 187 171 191 188 182 Eisenhower 179 178 Carter 177 183 Harrison 173 168 Pierce 178 196 Polk 173 185 Taylor 173 174 Johnson 192 180 Wilson 180 182 Jefferson 189 170
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