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If the actual support of the presidential candidate X were 50%, in what probability that the support estimate from a sample of 1,600 people would

  1. If the actual support of the presidential candidate X were 50%, in what probability that the support estimate from a sample of 1,600 people would be less than 48 percent?
  2. 1600 people were interviewed at the Presidential Gallup, and 720 of those interviewed said so to support candidate X. Determine a point estimate for X's support.
  3. What is the mean error of this estimate?
  4. Set a 99% confidence interval for the (actual) percentage of support.
  5. Define a 99.9% confidence interval for the (actual) percentage of support.
  6. If 50% of the votes are needed to win, how credible do you consider X's win to be?

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