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Let p be the (unknown) true fraction of voters who support a particular candidate A for...

Let p be the (unknown) true fraction of voters who support a particular candidate A for office. To estimate p, we poll a random sample of n voters. Let Fnbe the fraction of voters who support A among n randomly selected voters. Using Central Limit Theorem, calculate the following.

a) Calculate an upper bound on the probability that if we poll 100 voters, our estimate Fndiffers from p by more than 0.1.

b) How many voters need to be polled if we want to have high confidence (probability at least 95%) that our estimate differs from p by at most 0.01?

Math   Statistics-And-Probability   
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