Refer to the Journal of the European Academy of Dermatology and Venereology study of the link between nickel allergies and use of mascara or eye shadow Exercise 6.58 (pg 326). 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 of the population percentage with a nickel allergy that falls no more than 3% from the true value?

Study #1: 131 women with dermatitis and 12 diagnosed with nickel allergy
Study #2: 250 women with dermatitis and 25 diagnosed with nickel allergy