A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. For the next 500 customers expressing interest in purchasing a tractor, 250 were randomly offered the warranty and the rest were not. Ninety-three of those offered the warranty, and fifty-four of those not offered the warranty eventually purchased a tractor.   b. Test the hypothesis that offering the warranty increases the proportion of customers who eventually purchase a tractor. Be sure to check all necessary assumptions, state the null and alternative hypotheses, obtain the p-value, and state your conclusion. Should the manager offer the warranty based on this test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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 A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. 
For the next 500 customers expressing interest in purchasing a tractor, 250 were randomly offered the warranty and the rest were not. 
Ninety-three of those offered the warranty, and fifty-four of those not offered the warranty eventually purchased a tractor. 
 

b. Test the hypothesis that offering the warranty increases the proportion of customers who eventually purchase a tractor. 
Be sure to check all necessary assumptions, state the null and alternative hypotheses, obtain the 
p-value, and state your conclusion. 
Should the manager offer the warranty based on this test? 

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