To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Two hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2.  Speeding Tickets   Ticketed Not Ticketed Men 19 74 Women 11 96

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Two hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2.
 Speeding Tickets
  Ticketed Not Ticketed
Men 19 74
Women 11 96
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.
Step 2 of 3: 
Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 3: 
Draw a conclusion and interpret the decision.
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