A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 200 vinyl gloves, 66% leaked viruses. Among 200 latex gloves, 11% 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? OA. Ho: P₁ P₂ H₁: P₁ = P₂ O D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. O B. Ho: P₁>P2 H₁: P₁ P2 OE. Ho: P₁ = P2 H₁: P₁ P2 OC. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P1 = P2 H₁: P₁ P2 Technology Results Pooled proportion: 0.38 Test statistic, z: 11.2140 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.4788087
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 200 vinyl gloves, 66% leaked viruses. Among 200 latex gloves, 11% 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? OA. Ho: P₁ P₂ H₁: P₁ = P₂ O D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. O B. Ho: P₁>P2 H₁: P₁ P2 OE. Ho: P₁ = P2 H₁: P₁ P2 OC. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P1 = P2 H₁: P₁ P2 Technology Results Pooled proportion: 0.38 Test statistic, z: 11.2140 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.4788087
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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
latex gloves.
▼ the significance level a, so
▼the null hypothesis. There is
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 200 vinyl gloves, 66% leaked viruses. Among 200 latex gloves, 11% 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
O D. Ho: P₁ P2
H₁: P₁ = P₂
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
OB. Ho: P1₁ > P2
H₁: P₁ = P2
OE. Ho: P1 P₂
H₁: P₁ P2
OC. Ho: P₁ = P2
H₁: P₁ P2
OF. Ho: P1 P2
H₁: P₁ P2
Technology Results
Pooled proportion: 0.38
Test statistic, z: 11.2140
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.4788087 <P₁ P₂ <0.6111913
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