Question: Peanut and tree nut allergies are considered to be the most serious food allergies. According to the National Institute of Allergy and Infectious Diseases, roughly

Peanut and tree nut allergies are considered to be the most serious food allergies. According to the National Institute of Allergy and Infectious Diseases, roughly 1% of Americans are allergic to peanuts or tree nuts. A random sample of 1500 Americans is obtained.

(a) Explain why a large sample is needed for the distribution of the sample proportion to be approximately normal.

(b) Would it be unusual if a random sample of 1500 Americans results in fewer than 10 with peanut or tree nut allergies?

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