A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 270 vinyl​ gloves, 56​% leaked viruses. Among 270 latex​ gloves, 14​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.05 significance​ level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.   Pooled​ proportion: 0.35 Test​ statistic, z: 10.2980 Critical​ z: 1.6449 ​ P-value: 0.0000   90​% Confidence​ interval: 0.3617660

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 270 vinyl​ gloves, 56​% leaked viruses. Among 270 latex​ gloves, 14​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.05 significance​ level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

 

Pooled​ proportion: 0.35
Test​ statistic, z: 10.2980
Critical​ z: 1.6449
​ P-value: 0.0000
 
90​%
Confidence​ interval:
0.3617660<p1−p2< 0.4826784
 
 
Identify the test statistic. ___
(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
​(Round to three decimal places as​ needed.)
 
What is the conclusion for this​ test?
 
The​ P-value is_____ the significance level α​, so the null hypothesis. There is _______ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
 
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