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In: Statistics and Probability

Out of an election day sample of 400 individuals who voted in a gubernatorial election, 160...

  1. Out of an election day sample of 400 individuals who voted in a gubernatorial election, 160 voted for Jones and 240 for Smith.
  1. (15 pts.) Assuming this is a random sample of all voters, construct a 99% confidence interval for the proportion of votes that Jones will receive.
  1. (15 pts.)Do you think that Jones will lose the election? Why?
  1. (15 pts.) Suppose, instead, the sample size had been 40, of whom 16 voted for Jones. Again, find the 99% confidence interval and if possible, predict the winner. How does the result compare to (a)?

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