According to a poll of adults, about 44% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p = 0.44. Now consider a random sample of 400 adults. .. a. What is the probability that between 39% and 49% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) b. What is the probability that over 60% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.)

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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According to a poll of adults, about 44% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p = 0.44. Now consider a random sample of 400 adults.
a. What is the probability that between 39% and 49% of the sampled adults work during summer vacation?
The probability is. (Round to three decimal places as needed.)
IS
b. What is the probability that over 60% of the sampled adults work during summer vacation?
The probability is. (Round to three decimal places as needed.)
IS
Transcribed Image Text:According to a poll of adults, about 44% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p = 0.44. Now consider a random sample of 400 adults. a. What is the probability that between 39% and 49% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) IS b. What is the probability that over 60% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) IS
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