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(1) Gluten sensitivity, which is also known as wheat intolerance, affects approximately 15% of people in U.S. Let p be the proportion in a random sample of 800 individuals who have gluten sensitivity. Find the probability that the value of p is

(a) Within 0.02 of the population proportion
(b) Not within 0.02 of the population proportion
(c) Greater than the population proportion by 0.025 or more
Less than the population proportion by 0.03 or more

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