A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 266 vinyl​ gloves, 67​% leaked viruses. Among 266latex​ gloves, 14​% 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:0.40 Test​ statistic, z:12.6341 Critical​ z:1.2816​ P-value:0.0000 80​% Confidence​ interval: 0.4919708p2   B. H0​:p1≠p2 H1​:p1=p2   C. H0​:p1>p2 H1​:p1=p2   D. H0​:p1

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 266 vinyl​ gloves, 67​% leaked viruses. Among 266latex​ gloves, 14​% 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:0.40 Test​ statistic, z:12.6341 Critical​ z:1.2816​ P-value:0.0000 80​% Confidence​ interval: 0.4919708<p1-p2<0.5832171

What are the null and alternative​ hypotheses?

A.
H0​:p1=p2
H1​:p1>p2
 
B.
H0​:p1≠p2
H1​:p1=p2
 
C.
H0​:p1>p2
H1​:p1=p2
 
D.
H0​:p1<p2
H1​:p1=p2
 
E.
H0​:p1=p2
H1​:p1<p2
 
F.
H0​:p1=p2
H1​:p1≠p2
 
 
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 (greater than or less than) the significance level α​, so (fail to reject or reject) the null hypothesis. There is (sufficient or insufficient)
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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