Question

In a survey of 458 random households, people take pride in discussing their methods of environmental protection. 236 manage their trash by separating biodegradables from non-biodegradable. Biodegradables are converted into fertilizers while non-biodegradable are disposed of properly. Use a 95% confidence to estimate the proportion of all households who have good practices of trash management.

p = 

E = 

Lower Confidence Limit = 

Upper Confidence Limit = 

Answer 1

$p=\frac{236}{458}=0.5153.$

$E=\sqrt{\frac{0.5152(1-0.5153)}{458}}=0.0234.$

Lower Confidence Limit$=0.5153-1.96*0.0234=0.4694.$

Upper Confidence Limit$=0.5153+1.96*0.0234=0.5612.$