What is the probability that the sample proportion is less than 0.32?

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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Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 88 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?

Please round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

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