Question

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. Show Work:

  1. Test the claim using a hypothesis test.
  2. Test the claim by 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?

Solutions

Expert Solution

From the given data

H0: New York City police and Los Angeles police have the same proportion of hits.

H1: New York City police and Los Angeles police have not the same proportion of hits.

Thus we conclude that New York City police and Los Angeles police have the same proportion of hits.


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