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? a. Construct a​ 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. ​% less than p less than ​% ​(Round to one decimal place as​ needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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?

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

​% less than p less than ​%

​(Round to one decimal place as​ needed.)
PRESIDENT
Taylor
Eisenhower
J. Kennedy
Truman
Van Buren
Garfield
F. Roosevelt
Pierce
Johnson
Coolidge
Hoover
Harrison
Jefferson
Jackson
Harrison
Reagan
Cleveland
J. Q. Adams
G. H. W. Bush
Hayes
HEIGHT
173
179
183
175
168
183
188
178
192
178
182
173
189
185
168
185
180
171
188
173
HEIGHT OPP
174
178
182
173
180
187
182
196
180
180
180
168
170
171
180
177
180
191
173
178
Transcribed Image Text:PRESIDENT Taylor Eisenhower J. Kennedy Truman Van Buren Garfield F. Roosevelt Pierce Johnson Coolidge Hoover Harrison Jefferson Jackson Harrison Reagan Cleveland J. Q. Adams G. H. W. Bush Hayes HEIGHT 173 179 183 175 168 183 188 178 192 178 182 173 189 185 168 185 180 171 188 173 HEIGHT OPP 174 178 182 173 180 187 182 196 180 180 180 168 170 171 180 177 180 191 173 178
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Step 1

Given that

           sample size, n=20

Here, we have to construct a​ 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. From the given data, there are a total of 20 presidents and 11 have heights greater than the height of the opponent.

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