Calculate a 95% confidence interval for the difference in true proportion of the carrier bags which burst between jicama type A and type B. Give comment on the parameter estimate.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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QUESTION 3 
The Research Unit for Cecilion Supermart conducted an experiment to estimate the strength of the
carrier bag from the starch-based biofilms made from two different jicamas (sengkuang) of type A
and type B. However, the researcher claims that jicama type A produces more strength compared
to type B. To support this claim, 10kg weight item was put into 100 carrier bags made from jicama
type A and 200 carrier bags made from jicama type B were randomly selected. As a result, 8 bags
from jicama type A burst while 12 bags from jicama type B burst. Calculate a 95% confidence
interval for the difference in true proportion of the carrier bags which burst between jicama type A
and type B. Give comment on the parameter estimate.

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