In order to estimate f. the true fraction of smokers in a
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In order to estimate f. the true fraction of smokers in a large population, Alvin selects n people at random. His estimator Aln is obtained by dividing Sn. the number of smokers in his sample, by n, i.e. , Mn = Snln. Alvin chooses the sample size n to be the smallest possible number for which the Chebyshev inequality yields a guarantee that where and 6 are some prespecified tolerances. Determine how the value of n recommended by the Chebyshev inequality changes in the following cases. (a) The value of f is reduced to half its original value. (b) The probability 6 is reduced to half its original value.
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