SOLUTION: I am about to ask MTV viewers the following question: "Do you regularly watch MTV's Beavis and Butthead?" Last week I asked 100 of my friends the same question and 35 of them said

Algebra ->  Probability-and-statistics -> SOLUTION: I am about to ask MTV viewers the following question: "Do you regularly watch MTV's Beavis and Butthead?" Last week I asked 100 of my friends the same question and 35 of them said      Log On


   

Question 281449: I am about to ask MTV viewers the following question: "Do you regularly watch MTV's Beavis and Butthead?" Last week I asked 100 of my friends the same question and 35 of them said yes.

How many actual viewers must be surveyed to be 95% confident that the estimate of the viewership is in error by at most 3%? (Assume 100% response rate.)

What would be your answer if I had not surveyed any of my friends?

Please show details of your work.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many actual viewers must be surveyed to be 95% confident that the estimate of the viewership is in error by at most 3%? (Assume 100% response rate.)
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n = [zs/E]^2
n = [1.96*s/0.03]^2
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You would need to know the standard deviation
of the distribution.
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Cheers,
Stan H.