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In a recent poll of 1000 People from California , 37.3% use Twitter.  It is believed that...

In a recent poll of 1000 People from California , 37.3% use Twitter.  It is believed that the true proportion of all Nova Scotians using Twitter is 35%.  

  1. What is the probability that the sample proportion of People from California “Tweeting” in a random sample of 1000 would be within 5% of the population proportion.
  2. What is the probability that in a random sample of 1000 People from California, 37.3% or more “Tweet”?
  3. Given that the statistic in b) was actually observed, do you believe there is evidence that the true proportion of People from California “Tweeting” has increased?                                                                                                                              

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