A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 222 vinyl​ gloves, 56​% leaked viruses. Among 222 latex​gloves, 9​% 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: 0.33 Test​ statistic, z: 10.6258 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.3835533 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 (less than/greater than) the significance level a, so (fail to reject/reject) the null hypothesis. There is (insufficient/sufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 222 vinyl​ gloves, 56​% leaked viruses. Among 222 latex​gloves, 9​% 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: 0.33
Test​ statistic, z: 10.6258
Critical​ z: 2.3264
​ P-value: 0.0000
 
98​%
Confidence​ interval:
0.3835533<p1−p2<0.5623926

=>

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 (less than/greater than) the significance level a, so (fail to reject/reject) the null hypothesis. There is (insufficient/sufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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