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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Peanut and tree nut allergies are considered to be the most serious food allergies

Chapter 8, Problem 6

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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 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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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 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?

ANSWER:

Step 1 of 4

Given:

The probability that Americans are allergic to peanuts or tree nuts is .

The sample number of Americans is .

 

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