If a question cannot be solved with the given information, please enter $0$ ?as your response.

In a small town, households recycle on average $30\%$ ?of their waste. The new recycling committee wants to increase this

proportion and study the relationship between recycling and income. They select $25$ ?households from the two wealthier

neighborhoods and estimate a $92\%$ ?confidence interval for the true proportion of recycling. What is the error term of this

interval?

The same recycling committee also focuses on poor neighborhoods. How many households do they need to sample to

get a $95\%$ ?confidence interval, with an error of $\frac{+}{-}0\mathrm{.}09?$

Finally, the same recycling committee wants to know the probability of $12$ ?random households recycling more than $45\%$

of their waste. This probability is: