A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The
local newspaper finds that 46% of 200 randomly selected voters plan to vote "yes," while a college Statistics class finds 47% of 1300 randomly selected voters in
support. Both groups will create 90% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass.
Complete parts a through c below.
a) Without finding the confidence intervals, explain which one will have the larger margin of error.
The local newspaper will have the larger margin of error, at least mainly because it has a much smaller sample size.
b) Find both confidence intervals.
The confidence interval for the local newspaper is (☐ %, ☐ %).
(Round to one decimal place as needed.)
