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? 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. %

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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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?
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
50% of the elections. In this case, greater height
to be an advantage for presidential candidates because
President and Opponent Heights (cm)
PRESIDENT
Johnson
F. Roosevelt
Hayes
G. W. Bush
Harrison
Jackson
Taylor
Buchanan
Taft
J. Kennedy
Van Buren
Carter
Coolidge
Lincoln
Harding
Cleveland
Wilson
Hoover
Polk
G. H. W. Bush
HEIGHT
192
188
173
183
173
185
173
183
182
183
168
177
178
193
183
180
180
182
173
188
HEIGHT OPP
180
182
178
185
168
171
174
175
178
182
180
183
180
188
178
180
182
180
185
173
I
X
Transcribed Image Text: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? 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 50% of the elections. In this case, greater height to be an advantage for presidential candidates because President and Opponent Heights (cm) PRESIDENT Johnson F. Roosevelt Hayes G. W. Bush Harrison Jackson Taylor Buchanan Taft J. Kennedy Van Buren Carter Coolidge Lincoln Harding Cleveland Wilson Hoover Polk G. H. W. Bush HEIGHT 192 188 173 183 173 185 173 183 182 183 168 177 178 193 183 180 180 182 173 188 HEIGHT OPP 180 182 178 185 168 171 174 175 178 182 180 183 180 188 178 180 182 180 185 173 I X
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