A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 237 vinyl gloves, 68% leaked viruses. Among 237 latex gloves, 8% 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. 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. The P-value is (1). is (3). gloves. (Round to three decimal places as needed.) What is the conclusion for this test? OB. Ho: P₁ P₂ H₁: P₁ = P2 1: Technology Results Pooled proportion: 0.38 Test statistic, z: 13.2497 Critical z: 2.3264 P-value: 0.0000 O E. Ho: P₁ = P2 H₁: P₁ P2 98% Confidence interval: 0.5084192P2 H₁: P₁ = P2 sufficient insufficient OF. Ho: P₁ = P2 H₁: P₁ P2

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 237 vinyl gloves, 68% leaked viruses. Among 237 latex gloves, 8% 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.

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress.
Among 237 vinyl gloves, 68% leaked viruses. Among 237 latex gloves, 8% 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.
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.
The P-value is (1)
is (3)
gloves.
(Round to three decimal places as needed.)
What is the conclusion for this test?
O B. Ho: P₁ P2
H₁: P₁ = P2
1: Technology Results
Pooled proportion: 0.38
Test statistic, z: 13.2497
Critical z: 2.3264
P-value: 0.0000
O E. Ho: P₁ P2
H₁: P₁ <P2
98% Confidence interval:
0.5084192<P₁ P₂ <0.6730154
(1) O greater than
O less than
the significance level a, so (2)
the null hypothesis. There
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex
(2) O fail to reject
O reject
OC. Ho: P₁>P₂
H₁: P₁ = P2
sufficient
insufficient
OF. Ho: P₁ P2
H₁: P1 P2
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 237 vinyl gloves, 68% leaked viruses. Among 237 latex gloves, 8% 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. 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. The P-value is (1) is (3) gloves. (Round to three decimal places as needed.) What is the conclusion for this test? O B. Ho: P₁ P2 H₁: P₁ = P2 1: Technology Results Pooled proportion: 0.38 Test statistic, z: 13.2497 Critical z: 2.3264 P-value: 0.0000 O E. Ho: P₁ P2 H₁: P₁ <P2 98% Confidence interval: 0.5084192<P₁ P₂ <0.6730154 (1) O greater than O less than the significance level a, so (2) the null hypothesis. There evidence to support the claim that vinyl gloves have a greater virus leak rate than latex (2) O fail to reject O reject OC. Ho: P₁>P₂ H₁: P₁ = P2 sufficient insufficient OF. Ho: P₁ P2 H₁: P1 P2
Expert Solution
Step 1: We have given that

From technology results

Test statistic: z=13.2497

P-value= 0.0000

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