A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269 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. i Click the icon to view the technology results. What are the null and alternative hypotheses? OA. Ho: P₁ P2 H₁: P₁ = P2 OB. Ho: P₁ P2 H₁: P₁ P₂ OF H OC. Ho: P₁ = P₂ H₁: P₁>P2 Hin

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The p-value is greater than or less than, the significance level, so fail to reject or reject the null hypothesis. There is sufficient or insufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269
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.
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 = 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?
O B. Ho: P₁ P2
H₁: P₁ = P2
The P-value is
a greater virus leak rate than latex gloves.
O E. Ho: P₁ P₂
H₁: P₁ = P2
the significance level a, so
C
the null hypothesis. There is
OC. Ho: P₁
H₁: P₁
P2
P2
OF. Ho: P₁ P2
H₁: P₁ P2
evidence to support the claim that vinyl gloves have
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269 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. 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 = 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? O B. Ho: P₁ P2 H₁: P₁ = P2 The P-value is a greater virus leak rate than latex gloves. O E. Ho: P₁ P₂ H₁: P₁ = P2 the significance level a, so C the null hypothesis. There is OC. Ho: P₁ H₁: P₁ P2 P2 OF. Ho: P₁ P2 H₁: P₁ P2 evidence to support the claim that vinyl gloves have
What are the null and alternative hypotheses?
O A. H
H
O D. H
Identify
□
(Round
Identify
(Round
What is
Technology Results
Pooled proportion: 0.36
Test statistic, z: 13.3633
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.4981771<P₁-P₂ <0.6096296
The P-v
a greater virus leak rate than latex gloves.
Print
Done
XOC. Ho: P₁
H₁: P₁
OF. Ho: P₁
H₁: P₁
evidence to
Transcribed Image Text:What are the null and alternative hypotheses? O A. H H O D. H Identify □ (Round Identify (Round What is Technology Results Pooled proportion: 0.36 Test statistic, z: 13.3633 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.4981771<P₁-P₂ <0.6096296 The P-v a greater virus leak rate than latex gloves. Print Done XOC. Ho: P₁ H₁: P₁ OF. Ho: P₁ H₁: P₁ evidence to
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