newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 298 vinyl gloves, 60% leaked viruses. Among 298 latex gloves, 13% 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. View the technology results. Technology results Pooled proportion: 0.37
Question #3
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 298 vinyl gloves, 60% leaked viruses. Among 298 latex gloves,
13% 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.
View the technology results.
Technology results
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Pooled proportion: 0.37
Test statistic, z: 11.9063
Critical z: 2.3264
P-value: 0.0000
98% Confidence interval: 0.3896624 < p1 − p2 < 0.5499349
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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 ___________ ( A. less than, B. greater than ) the significance level of α,
so ____________ ( A. fail to reject, B. reject ) the null hypothesis. There is ___________ ( A. insufficient, B. sufficient ) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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