According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest. A random sample of 34 executive officers from these companies was selected.   What is the probability that the proportion of women in the sample has the value within plus or minus 0.03 from the population proportion? If you include more observations in the sample, the probability that the proportion of women in the sample has the value within plus or minus 0.03 of the population proportion _________________________________ the probability when the sample size is 34. According to IDC, Apple’s share of the smartphone market was 40.4% during a recent  quarter. Assume that you are planning to collect a random sample of 90 smartphone users and ask them whether they use an iPhone. The standard error of the proportion of iPhone users  will be about___

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest. A random sample of 34 executive officers from these companies was selected.

 

  • What is the probability that the proportion of women in the sample has the value within plus or minus 0.03 from the population proportion?
  • If you include more observations in the sample, the probability that the proportion of women in the sample has the value within plus or minus 0.03 of the population proportion _________________________________ the probability when the sample size is 34.
  • According to IDC, Apple’s share of the smartphone market was 40.4% during a recent  quarter. Assume that you are planning to collect a random sample of 90 smartphone users and ask them whether they use an iPhone. The standard error of the proportion of iPhone users  will be about___
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