A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 299 vinyl​ gloves, 68​% leaked viruses. Among 299 latex​ gloves, 10​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.01 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: 0.39 Test​ statistic, z: 14.6745 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.5110624

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 299 vinyl​ gloves, 68​% leaked viruses. Among 299 latex​ gloves, 10​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.01 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: 0.39
Test​ statistic, z: 14.6745
Critical​ z: 2.3264
​ P-value: 0.0000
 
98​%
Confidence​ interval:
0.5110624<p1−p2<
What are the null and alternative​ hypotheses?
Identify the test statistic?
Identify the​ P-value.?
What is the conclusion for this​ test?
Is there sufficent evidence?
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