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Problem 2 A large city installed LED streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes

Problem 2

A large city installed LED streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes along nine randomly selected streets in the month before and after the LED light installation, and claims that crime has been reduced. The crime data is shown in the table.

Before LED After LED
17 14
25 20
10 14
14 12
16 8
34 35
32 27
21 18
14 12

  1. Specify the competing hypotheses to test the city's claim.
  2. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level.
  3. Does the evidence support the city's claim at the 5% significance level?

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