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lotsofmoxie

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## Homework Statement

Assume five hundred people are given one question to answer - the question can be answered with a yes or no. Let p =the fraction of the population that answers yes. Give an estimate for the probability that the percent of yes answers in the five hundred person sample is bigger than that of in the whole population (p) by more than 5 %

## Homework Equations

central limit theorem

p is NOT provided.

## The Attempt at a Solution

N=.55*500

n=500

using a typical normal approximation to the binomial we get

P(X>N)=1-CDFOFNORMALDIST[(N-np)/sqrt(n*p*(1-p))]

How can we go farther than this if we don't have an explicit value for p?[/B]

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