Social Service
In a simple random sample of 2000 residents, 77% have volunteered for a cleanliness drive in the locality.
a. What is the standard error for this estimate of the percentage of all residents who have volunteered for a cleanliness drive?
b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all residents who have volunteered for a cleanliness drive.
c. Report the 95% confidence interval for the percentage of all residents who have volunteered for a cleanliness drive.
d. Suppose that in the past, 60% of all the residents had volunteered for a cleanliness drive. Does the confidence interval you found in part c support or refute the claim that the percentage of residents who have volunteered for a cleanliness drive has increased? Explain.