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 number of crime data is shown in the table. 3 No Before LED After LED 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12 a. Specify the competing hypotheses to test the city's claim. b. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level. c. Does the evidence support the city's claim at the 5% significance level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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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 number of crime data is shown in the table.

3

No Before LED After LED 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12


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

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