Living at home: According to a 2011 report from the U.S. Census, 59% of young men (age 18-24) are living at home with their parents. Suppose that we plan to select a random sample of 100 young men from your community. If we use the national figure of 59%, we estimate that the standard error is about 0.05 for results from random samples of 100 young men from your community. When we select a random sample of 100 young men from your community, we find that 50% are living at home. Which gives the best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home?  We are 95% confident that 50% of the young men in your community are living at home.  We are 95% confident that 45% to 55% of the young men in your community are living at home.  We are 95% confident that 40% to 60% of the young men in your community are living at home.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Living at home: According to a 2011 report from the U.S. Census, 59% of young men (age 18-24) are living at home with their parents.

Suppose that we plan to select a random sample of 100 young men from your community. If we use the national figure of 59%, we estimate that the standard error is about 0.05 for results from random samples of 100 young men from your community.

When we select a random sample of 100 young men from your community, we find that 50% are living at home. Which gives the best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home?

  1.  We are 95% confident that 50% of the young men in your community are living at home.
  2.  We are 95% confident that 45% to 55% of the young men in your community are living at home.
  3.  We are 95% confident that 40% to 60% of the young men in your community are living at home.
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