In a recent poll of 800 homeowners in the United States one
In a recent poll of 800 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off. Using a confidence coefficient of 0.95, derive an interval estimate for the proportion of all homeowners in the United States that hold a home equity loan.
Solution
0.223868
Confidence interval =(0.176,0.224)
| p | 0.2 | 
| 1-p | 0.8 | 
| n | 760 | 
| se | 0.01451 | 
| Value | 1.644854 | 
| Tabular value | 1.645 | 
| Lower limit | 0.176132 | 
| Upper limit | 0.223868 | 

