A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 283 vinyl gloves, 57% leaked viruses. Among 283 latex gloves, 10% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that 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 the null hypothesis. There is OB. Ho: P P₂ H₁: Pg P₂ OE H₂: P₁ = P₂ H₂: P₁ P₂ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves. OC. H₂: P1 SP₂ H₂: Py "P₂ OF. M₂: Py =P₂ H₂: Dy #P₂
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 283 vinyl gloves, 57% leaked viruses. Among 283 latex gloves, 10% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that 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 the null hypothesis. There is OB. Ho: P P₂ H₁: Pg P₂ OE H₂: P₁ = P₂ H₂: P₁ P₂ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves. OC. H₂: P1 SP₂ H₂: Py "P₂ OF. M₂: Py =P₂ H₂: Dy #P₂
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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17
![A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 283 vinyl gloves, 57% leaked viruses. Among 283 latex gloves, 10% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 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.
0
(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
the null hypothesis. There is
OB. Ho: P₁ P₂
H₁: P₁ P₂
OE H₂: P₁ P₂
H₁: P₁ P₂
C
▾ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
OC. Ho: P₁ P₂
H₁: P₁ P₂
OF. Ho: P1 P2
H₁: Pg #P₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4e5146-969d-4643-8e1a-977cd9815aba%2Fcb5ed454-8de3-47a9-a804-4ddd415c11be%2Fttooo3d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 283 vinyl gloves, 57% leaked viruses. Among 283 latex gloves, 10% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 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.
0
(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
the null hypothesis. There is
OB. Ho: P₁ P₂
H₁: P₁ P₂
OE H₂: P₁ P₂
H₁: P₁ P₂
C
▾ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
OC. Ho: P₁ P₂
H₁: P₁ P₂
OF. Ho: P1 P2
H₁: Pg #P₂
![Technology Results
Pooled proportion: 0.33
Test statistic, z: 11.8538
Critical z: 1.2816
P-value: 0.0000
80% Confidence interval:
0.4259114 P₁-P₂ <0.5140179
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4e5146-969d-4643-8e1a-977cd9815aba%2Fcb5ed454-8de3-47a9-a804-4ddd415c11be%2F5ia3ta9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Technology Results
Pooled proportion: 0.33
Test statistic, z: 11.8538
Critical z: 1.2816
P-value: 0.0000
80% Confidence interval:
0.4259114 P₁-P₂ <0.5140179
Print
Done
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