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Question

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law that requires all automobile passengers to wear a seat belt.

What would be the approximate margin of error if the researcher randomly sampled 400 adults?

Solution

VerifiedAnswered 1 month ago

Answered 1 month ago

Step 1

1 of 3A conservative margin of error is calculated as

$\text{Conservative margin of error}=\cfrac{1}{\sqrt{n}},$

where $n$ is the sample size.

Actual margin of error is always a bit less than the conservative margin of error, but for now, we will only use conservative margin of error as an estimate of the actual margin of error.

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