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a poll was conducted two weeks before an election and showed that the incumbent would win with 54% of the vote, with a 3% margin of error. what is the confidence interval for this poll?



Answer :

The confidence interval for the given poll is; 51% to 57%

How to find the confidence Interval?

We are given that;

Sample proportion; p = 54% = 0.54

Margin of error; E = 3% = 0.03

Now, formula for confidence interval of proportions is;

p ± E

where;

p is sample proportion

E is margin of error

Thus;

CI = 0.54 ± 0.03

CI = (0.54 - 0.03), (0.54 + 0.03)

CI = (0.51, 0.57)

We conclude that the confidence interval is CI = (0.51, 0.57)

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