newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 289 vinyl gloves, 66% leaked viruses. Among 289 latex gloves, 9% leake viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vir gloves be population 1. What are the null and alternative hypotheses? OA. Ho: P₁ P₂ H₁: P₁ P₂ O D. Ho: P₁ P₂2 H₁: Pg > P₂ Identify the test statistic. 14.10 (Round to two decimal places as needed.) Identify the P-value. 0 (Round to three decimal places as needed.) What is the conclusion for this test? The P-value is latex gloves. the significance level a, so OB. Ho: P1 P₂ Hy: Py #P₂ OE H₂: P P₂ Hy: Py "P₂ the null hypothesis. There is OC. Ho: P₁ P₂ H₁: P1 P₂ OF. Ho: P₁ P₂ H₁: P₁ P₂ evidence to support the claim that vinyl gloves have a greater virus leak ra

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 289 vinyl gloves, 66% leaked viruses. Among 289 latex gloves, 9% leaked
viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl
gloves be population 1.
What are the null and alternative hypotheses?
OA. Ho: P₁ P2
H₁: P₁ P₂
O D. Ho: P₁
P2
H₁: P₁ P₂
Identify the test statistic.
14.10
(Round to two decimal places as needed.)
Identify the P-value.
0
(Round to three decimal places as needed.)
What is the conclusion for this test?
The P-value is
latex gloves.
the significance level a, so
OB. Ho: Py = P₂
H₁: Pg #P₂
OE. Ho: P1 *P₂
Hy: P = P₂
the null hypothesis. There is
OC. Ho: P₁ P2
H₁: Pq = P₂
OF. Ho: P₁ P2
H₁: P₁ = P₂
evidence to support the claim that vinyl gloves have a greater virus leak rate than
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 289 vinyl gloves, 66% leaked viruses. Among 289 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. What are the null and alternative hypotheses? OA. Ho: P₁ P2 H₁: P₁ P₂ O D. Ho: P₁ P2 H₁: P₁ P₂ Identify the test statistic. 14.10 (Round to two decimal places as needed.) Identify the P-value. 0 (Round to three decimal places as needed.) What is the conclusion for this test? The P-value is latex gloves. the significance level a, so OB. Ho: Py = P₂ H₁: Pg #P₂ OE. Ho: P1 *P₂ Hy: P = P₂ the null hypothesis. There is OC. Ho: P₁ P2 H₁: Pq = P₂ OF. Ho: P₁ P2 H₁: P₁ = P₂ evidence to support the claim that vinyl gloves have a greater virus leak rate than
he technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater vi
Technology Results
Pooled proportion: 0.37
Test statistic, z: 14.1002
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.5138565<P₁-P2 <0.6210916
Print
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Transcribed Image Text:he technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater vi Technology Results Pooled proportion: 0.37 Test statistic, z: 14.1002 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.5138565<P₁-P2 <0.6210916 Print Done □ X
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