Peanut and tree nut allergies are considered to be the most serious food allergies. According to the
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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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