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For the following situation in the problem below, determine which of the followi

ID: 3116735 • Letter: F

Question

For the following situation in the problem below, determine which of the following test should be used. Assume necessary conditions have been met. (Answers may be used more than once or not at all.)

A. 1 sample z test

B. 1 sample t test

C. 2 sample t test

D. Chi-squared

E. 1 proportion z test

F. 2 proportion z test

G. matched pairs t test

1. A new law has been passed giving city police greater powers in apprehending suspected criminals. For six neighborhoods, the numbers of reported crimes one year before and one year after the new law are shown. Does this indicate that the number of reported crimes have dropped?

Neighborhood 1, 2, 3, 4, 5, 6

Before 18, 35, 44, 28, 22, 37

After 21, 23, 30, 19, 24, 29

Explanation / Answer

G. matched pairs t test

Paired T-Test and CI: Before, After

Paired T for Before - After

N Mean StDev SE Mean
Before 6 30.67 9.79 4.00
After 6 24.33 4.37 1.78
Difference 6 6.33 7.17 2.93


95% lower bound for mean difference: 0.43
T-Test of mean difference = 0 (vs > 0): T-Value = 2.16 P-Value = 0.041

P-value < 0.05 so we reject the null hypothesis

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