In response to concerns about nutritional contents of fast foods, McDonald’s has announced that it will use anew cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion),what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s,a. At least 40 can taste the difference between the two oils?b. At most 5% can taste the difference between the two oils?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In response to concerns about nutritional contents of fast foods, McDonald’s has announced that it will use anew cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion),what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s,
a. At least 40 can taste the difference between the two oils?
b. At most 5% can taste the difference between the two oils?

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