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Question

A TV newscaster reports the results of a poll of voters, and then says, “The margin of error is plus or minus 4%.” Explain carefully what that means.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

The "margin of error is plus or minus $4\%$" means that at a confidence level stated by the researchers at the start of the poll (e.g. $95\%$) the results of the poll is $95\%$ confident that the true percentage results is within the interval of $(\hat{p} \pm ME) = (\hat{p}\pm 0.04)$ where $\hat{p}$ is the computed sample percentage computed by the poll.

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