(a) A poll of 2,298 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 49 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)
The margin of error with confidence level 95% is 0.0204 and it is obtained below:
From the given information, there are 2,298 voters. Let us assume that p=0.5.
From the standard normal table, the critical value for 0.05 level of significance is 1.96.
(b)
From the given information, the 49% approved the president’s performance. That is, the p value is 0.49.
The 90% confidence interval is from 0.4729 to 0.5071. And it i...
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