Using the same data in #2 a. Calculate Spearman's r. b. Which of the two correlation coefficients is more appropriate, in your opinion, for this case? Explain your answer.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 2E
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ONLY DO NO. 3


2. Jeremy, a police researcher, is concerned that police officers may not be assigned to areas where they are needed. He wishes to find out whether there is a connection between the number of police officers assigned to a particular block and the number of violent incidents reported on that block during the preceding week. For ten different blocks (designated A through J), the number of patrolling officers assigned and the number of prior violent incidents reported are as follows:

  A B C D E F G H I J
X: Violent incidents 7 10 3 9 8 0 4 4 2 8
Y: Officers assigned 6 9 3 10 8 1 4 5 2 7


a. State the null and alternative hypotheses
b. Calculate the value of Pearson's r for the data recorded above.
c. Test the statistical significance if the two variables are related.
d. Use MS Excel to verify your answer (copy and paste the results on your answer sheet)
e. State the Decision and Conclusion

3. Using the same data in #2
a. Calculate Spearman's r.
b. Which of the two correlation coefficients is more appropriate, in your opinion, for this case? Explain your answer.

 

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