A drug manufacturer claims that a certain drug cures a blood disease, on the average, 80% of the time. To check the claim, government testers use the drug on a sample of 100 individuals and decide to accept the claim if 75 or more are cured. (a) What is the probability that the claim will be rejected when the cure probability is, in fact, 0.8? (b) What is the probability that the claim will be accepted by the government when the cure probability is as low as 0.7?

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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0 A drug manufacturer claims that a certain drug cures a blood disease, on the average, 80% of the
time. To check the claim, government testers use the drug on a sample of 100 individuals and decide to
accept the claim if 75 or more are cured.
(a) What is the probability that the claim will be rejected when the cure probability is, in fact, 0.8?
(b) What is the probability that the claim will be accepted by the government when the cure probability
is as low as 0.7?

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