Based on historical data, your manager believes that 20% of the company's orders come from first-time customers. A random sample of 93 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary. a. What is the distribution of ˆpp^? ˆpp^ ~ N(,) b. What is the probability that the sample proportion is more than 0.21?  c. What is the probability that the sample proportion is between 0.17 and 0.21?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Based on historical data, your manager believes that 20% of the company's orders come from first-time customers. A random sample of 93 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary.

a. What is the distribution of ˆpp^? ˆpp^ ~ N(,)

b. What is the probability that the sample proportion is more than 0.21? 

c. What is the probability that the sample proportion is between 0.17 and 0.21?

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