It has been reported that 32% of all employees in Canada are unionized. Assuming a random sample of 200 workers has been selected. What is the expected value of p = the proportion in the sample that are unionized? What is the standard error of the sampling distribution of proportions? What is the probability that at least 20% of those in the sample will be unionized? What is the probability that between 30% and 45% of those in the sample will be unionized?

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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It has been reported that 32% of all employees in Canada are unionized. Assuming a random sample of 200 workers has been selected.

  1. What is the expected value of p = the proportion in the sample that are unionized?
  2. What is the standard error of the sampling distribution of proportions?
  3. What is the probability that at least 20% of those in the sample will be unionized?
  4. What is the probability that between 30% and 45% of those in the sample will be unionized?
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