A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 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. A Click the icon to view the technology results. U A. Ho: P = P2 H,: P, > P2 UB. Mo: Pi = P2 H,: P, # P2 t. Ho: P, = P2 Technology Results O D. Hg: P, #P2 H,: P, =P2 O E. Ho: P,> P2 H,: P, = P2 Pooled proportion: 0.33 Test statistic, z: 10.9407 Critical z: 1.6449 P-value: 0.0000 Identify the test statistic. (Round to two decimal places as needed.) 90% Confidence interval: 0.4164166
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 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. A Click the icon to view the technology results. U A. Ho: P = P2 H,: P, > P2 UB. Mo: Pi = P2 H,: P, # P2 t. Ho: P, = P2 Technology Results O D. Hg: P, #P2 H,: P, =P2 O E. Ho: P,> P2 H,: P, = P2 Pooled proportion: 0.33 Test statistic, z: 10.9407 Critical z: 1.6449 P-value: 0.0000 Identify the test statistic. (Round to two decimal places as needed.) 90% Confidence interval: 0.4164166
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57 % leaked viruses. Among 230 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.
- What are the null and alternative hypotheses?
- Identify the test statistic. (Round to 2 decimal places)
- Identify the P-value. (Round to 3 decimal places)
- What is the conclusion for this test?

Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 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.
A Click the icon to view the technology results.
O A. Ho: P1 =P2
U B. Hg: P1 = P2
H,: P, + P2
O E. Ho: P1> P2
H,: P, = P2
L. Ho: P1= P2
H,: P, > P2
- X
Technology Results
O D. Ho: P1 #P2
H,: P, = P2
Pooled proportion: 0.33
Test statistic, z: 10.9407
Critical z: 1.6449
Identify the test statistic.
(Round to two decimal places as needed.)
P-value: 0.0000
Identify the P-value.
90% Confidence interval:
|0.4164166 < p, - P2 < 0.5401052
(Round to three decimal places as needed.)
Print
Done
What is the conclusion for this test?
The P-value is
V 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 latex gloves.
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