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Question

Pew Research, in November 2011, polled a random sample of 799 U.S. teens about Internet use. 49% of those teens reported that they had misrepresented their age online to gain access to websites and online services. If we only need to be 90% confident, will the margin of error be larger or smaller? Explain.

Solution

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1 of 2We want to be 90% confident instead of 95% confident, thus the confidence level decreases.

If the confidence level decreases, then we will be less confident that the confidence interval will contain the true population proportion and thus the confidence interval will become narrower.

If the confidence interval becomes narrower, then the margin of error is smaller.

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