A 2004 survey of randomly sampled Utah residents found that 10.5% (0.105) of them smoked regularly.
(a) Suppose you survey 100 randomly sampled Utah residents. Use the Central Limit Theorem to sketch and label the sampling distribution of the sample proportion of Utah smokers Calculate the z-score for the sample proportion ˆp = 0.125.
(b) Calculate the probability that a sample proportion of smokers from this population exceeds 12.5%.