Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, p: 0.113 < p < 0.171. Which of the statements below is a valid interpretation of this confidence interval?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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  • A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce.       )        ___________.

Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, p: 0.113 < p < 0.171. Which of the statements below is a valid interpretation of this confidence interval?

  • There is a 99% chance that the true value of implies between 0.113 and 0.171.
  • If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would contain the true value of p.
  • If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p.
  • If many different samples of size 250 were selected and, based on each sample, a confidence intervaL were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171.
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