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Answer: (54.13%, 53.83%)
Step-by-step explanation:
Confidence interval for population proportion is given by :-
= sample proportion
n= sample size.
z* = critical z-value.
Let p be the proportion of individuals supportive of a new public works project.
As per given , we have
n= 258
For 99.9% confidence , significance level α= 0.001
Critical z-value for 99.9% confidence interval = [By z-table]
Then, the 99.9% confidence interval for the support level percentage in the entire city will be :
Hence, the 99.9% confidence interval for the support level percentage in the entire city is (54.13%, 53.83%) .