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In: Statistics and Probability

In a study of police gunfire reports during a recent year, it was found that among...

In a study of police gunfire reports during a recent year, it was found that among 540 shots fired by New York City police, 182 hit their targets; and among 283 shots fired by Los Angeles police, 77 hit their targets. We want to use a 0.05 significance level to test the claim that New York City police and Los Angeles police have the same proportion of hits.

  1. Test the claim using a hypothesis test.
  2. Test the claim constructing an appropriate confidence interval.
  3. What are the null and alternative hypotheses?
  4. What is the value of α= significance level?
  5. Is the test two-tailed, left-tailed or right-tailed?
  6. What is the test statistic and what is its distribution?
  7. What is the value of the test statistic?
  8. What is the P-value?
  9. What is (are) the critical value(s)?
  10. How would you state a conclusion that addresses the original claim?

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