(a) A poll of 2,256 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.)
Margin of error ___________
(b) The poll showed that 46 percent approved the president’s performance. Construct a 90 percent confidence interval for the true proportion. (Round your answers to 4 decimal places.)
The 90% confidence interval is from ________ to ___________
(c) Would you agree that the percentage of all voters opposed is likely to be 50 percent?
(a) Total number of voters, n is 2256. Consider the population proportion, p as 0.5. The confidence level is 95%. Therefore, the level of significance is 1 – confidence level = 5% or 0.05.
The margin of error is,
(b) The sample proportion is provided as 0.46. The confidence level is 90%. Therefore, the level of significance is 1 – confidence level = 10% or 0.10.
The margin of error is,
The 90% confidence interval for...
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