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?   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.   nothing​%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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?
 
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.
 
nothing​%<p<nothing​%
​(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 the confidence interval
(3) 
 
 
include​ 50%.
1: President and Opponent Height
 
 
 
 
PRESIDENT
HEIGHT
HEIGHT OPP
 
T. Roosevelt
178
175
 
Harding
183
178
 
Van Buren
168
180
 
Harrison
168
180
 
Polk
173
185
 
G. H. W. Bush
188
173
 
McKinley
170
178
 
Harrison
173
168
 
Taft
182
178
 
Cleveland
180
180
 
J. Adams
170
189
 
Nixon
182
180
 
Hayes
173
178
 
Garfield
183
187
 
Truman
175
173
 
Wilson
180
182
 
Clinton
188
188
 
G. W. Bush
183
185
 
Jefferson
189
170
 
Jackson
185
171
 
(1) 
 
 less than
 
 more than
 
 exactly
(2) 
 
 does not appear
 
 appears
(3) 
 
 does
 
 does not
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