Eye shadow, mascara, and nickel allergies. Refer to the Journal of the European Academy of Dermatology and Venereology (June 2010) study of the link between nickel allergies and use of mascara or eye shadow, Exercise 7.73

(p. 372). Recall that two groups of women were sampled:

one group with cosmetic dermatitis from using eye shadow and another group with cosmetic dermatitis from using mascara. In either group, how many women would need to be sampled in order to yield an estimate (with 95% confidence)

of the population percentage with a nickel allergy that falls no more than 3% from the true value?