A consumer agency wants to determine whether there is a major difference between the proportions of the two leading automobile models that need major repairs (more than $300) within two years of their purchase.  A sample of 400 2-year owners of model 1 are contacted, and a sample of 500 2-years owners of model 2 are contacted.  The numbers x1 and x2 of owners who report that their cars needed major repairs within the first two years are 53 and 78, respectively.  Test the null hypothesis that no difference exists between the proportions in populations 1 and 2 needing major repairs against the alternative that a difference does exist.  Use =0.10.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A consumer agency wants to determine whether there is a major difference between the proportions of the two leading automobile models that need major repairs (more than $300) within two years of their purchase.  A sample of 400 2-year owners of model 1 are contacted, and a sample of 500 2-years owners of model 2 are contacted.  The numbers x1 and x2 of owners who report that their cars needed major repairs within the first two years are 53 and 78, respectively.  Test the null hypothesis that no difference exists between the proportions in populations 1 and 2 needing major repairs against the alternative that a difference does exist.  Use =0.10.

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