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

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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? 

 

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

​% less than pless than ​%

​(Round to one decimal place as​ needed.)

 

This table provides a comparison of the heights of U.S. Presidents and their opponents. The columns are labeled as follows:

1. **President**: Lists the surname of U.S. Presidents.
2. **Height**: Indicates the height of each president in centimeters.
3. **Height Opp**: Displays the height of their respective opponents in centimeters.

### Presidents and Heights

- **Nixon**: 182 cm | Opponent: 180 cm
- **Truman**: 175 cm | Opponent: 173 cm
- **Van Buren**: 168 cm | Opponent: 180 cm
- **Coolidge**: 178 cm | Opponent: 180 cm
- **Pierce**: 178 cm | Opponent: 196 cm
- **Harding**: 183 cm | Opponent: 178 cm
- **Harrison**: 173 cm | Opponent: 168 cm
- **G. W. Bush**: 183 cm | Opponent: 185 cm
- **McKinley**: 170 cm | Opponent: 178 cm
- **J. Q. Adams**: 171 cm | Opponent: 191 cm
- **Buchanan**: 183 cm | Opponent: 175 cm
- **Clinton**: 188 cm | Opponent: 188 cm
- **Cleveland**: 180 cm | Opponent: 180 cm
- **Johnson**: 192 cm | Opponent: 180 cm
- **Garfield**: 183 cm | Opponent: 187 cm
- **Hayes**: 173 cm | Opponent: 178 cm
- **Taft**: 182 cm | Opponent: 178 cm
- **J. Adams**: 170 cm | Opponent: 189 cm
- **Hoover**: 182 cm | Opponent: 180 cm
- **Polk**: 173 cm | Opponent: 185 cm

This data can be used to analyze trends in the physical stature of U.S. Presidents compared to their opponents.
Transcribed Image Text:This table provides a comparison of the heights of U.S. Presidents and their opponents. The columns are labeled as follows: 1. **President**: Lists the surname of U.S. Presidents. 2. **Height**: Indicates the height of each president in centimeters. 3. **Height Opp**: Displays the height of their respective opponents in centimeters. ### Presidents and Heights - **Nixon**: 182 cm | Opponent: 180 cm - **Truman**: 175 cm | Opponent: 173 cm - **Van Buren**: 168 cm | Opponent: 180 cm - **Coolidge**: 178 cm | Opponent: 180 cm - **Pierce**: 178 cm | Opponent: 196 cm - **Harding**: 183 cm | Opponent: 178 cm - **Harrison**: 173 cm | Opponent: 168 cm - **G. W. Bush**: 183 cm | Opponent: 185 cm - **McKinley**: 170 cm | Opponent: 178 cm - **J. Q. Adams**: 171 cm | Opponent: 191 cm - **Buchanan**: 183 cm | Opponent: 175 cm - **Clinton**: 188 cm | Opponent: 188 cm - **Cleveland**: 180 cm | Opponent: 180 cm - **Johnson**: 192 cm | Opponent: 180 cm - **Garfield**: 183 cm | Opponent: 187 cm - **Hayes**: 173 cm | Opponent: 178 cm - **Taft**: 182 cm | Opponent: 178 cm - **J. Adams**: 170 cm | Opponent: 189 cm - **Hoover**: 182 cm | Opponent: 180 cm - **Polk**: 173 cm | Opponent: 185 cm This data can be used to analyze trends in the physical stature of U.S. Presidents compared to their opponents.
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