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.  a. Construct a 95% confidence interval for the difference between the proportions of customers purchasing tractors with and without warranties. Be sure to check all necessary assumptions, and interpret the interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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. 
 
a. Construct a 95% confidence interval for the difference between the proportions of customers purchasing tractors with and without warranties. 
Be sure to check all necessary assumptions, and interpret the interval. 

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