5.3..24. Sup;se that p is lo be estimated by X and we are willing to assume tha t the true p will
not be greater than 0.4. Wha t is the s::iallest n for which X will have a 99% probability of being within 0.05 of p? n
5.3..25. Let p denote the true proportion of college students who support the movement to col orize classic films. Le t the rnndom variable X denote 1he number of studenls (out of n) who prefer colorized versions to black and white. What is the smallest sample size for
which the probability is 80% that the difference between - and p is less than 0.02?
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