A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 239 vinyl gloves, 65% leaked viruses. Among 239 latex gloves, 6% 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. Click the icon to view the technology results. What are the null and alternative hypotheses? OA. Ho: P₁ P₂ H₁: P₁ P₂ OD. Ho: 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 the significance level a, so OB. Ho: P₁ P₂ H₁: P₁ P2 OE. H₂: P₁ H₁: P₁ the null hypothesis. There is P₂ P2 OC. Ho: P₁ P₂ H₁: P₁ P2 OF. Ho: P₁

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 239 vinyl gloves, 65% leaked viruses. Among 239 latex gloves, 6% 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.
i Click the icon to view the technology results.
What are the null and alternative hypotheses?
O A. Ho: P₁ = P2
H₁: P₁ P2
O D. Ho: P₁ P₂2
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
the significance level a, so
O B. Ho: P₁ = P2
H₁: P₁ P2
O E. Ho: P₁ = P2
H₁: P₁>P2
the null hypothesis. There is
C
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 rate than latex gloves.
Technology Results
Pooled proportion: 0.36
Test statistic, z: 13.5676
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.5376594<P₁-P₂ <0.6506251
Print
Done
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 239 vinyl gloves, 65% leaked viruses. Among 239 latex gloves, 6% 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. i Click the icon to view the technology results. What are the null and alternative hypotheses? O A. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P₁ P₂2 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 the significance level a, so O B. Ho: P₁ = P2 H₁: P₁ P2 O E. Ho: P₁ = P2 H₁: P₁>P2 the null hypothesis. There is C 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 rate than latex gloves. Technology Results Pooled proportion: 0.36 Test statistic, z: 13.5676 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.5376594<P₁-P₂ <0.6506251 Print Done
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