In order to estimate f. the true fraction of smokers in a large population, Alvin selects n people at random. His estimator Mn is obtained by dividing Sn, the number of smokers in his sample, by n, i. e. Mn = Sn/n. Alvin Chooses the sample size n to be the smallest possible number for which the Chebyshev inequality yields a guarantee that,

P(|Mn - f| >= epsilon) <= Delta,

where epsilon and dela are some prespecified tolerances. Determine how the value of n recomended by the Chevyshev inequality changes in the following cases.

A) The value of epsilon is reduced to half its original value.

B) The probability delta is reduced to half its original value.