A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228 vinyl​ gloves, 57​% leaked viruses. Among 228 latex​ gloves, 11​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.10 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: 0.34 Test​ statistic, z: 10.5783 Critical​ z: 1.2816 ​ P-value: 0.0000   80​% Confidence​ interval: 0.4199096

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228 vinyl​ gloves, 57​% leaked viruses. Among 228 latex​ gloves, 11​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.10 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: 0.34
Test​ statistic, z: 10.5783
Critical​ z: 1.2816
​ P-value: 0.0000
 
80​% Confidence​ interval:
0.4199096<p1−p2< 0.5186869
 
Identify the test statistic.
 
Identify the​ P-value.
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