What are the null and alternative​ hypotheses? Identify the test statistic. Identify the​ P-value. What is the conclusion for this​ test

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 276 vinyl​ gloves, 57% leaked viruses. Among 276 latex​ gloves, 14​% 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.

What are the null and alternative​ hypotheses?

Identify the test statistic.

Identify the​ P-value.
What is the conclusion for this​ test?
 
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 276 vinyl gloves, 57% leaked viruses. Among 276 latex gloves, 14% 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.
A Click the icon to view the technology results.
O A. Ho: P, <pP2
H,: P, = P2
U B. Ho: P1 = P2
H,: P, + P2
UL. Mo: Pq F P2
H,: P, = P2
O D. Ho: P1 = P2
H,: P, <P2
O E. Ho: P1 = P2
H,: P,> P2
O F. Ho: P1 > P2
H,: P, = 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
V the significance level a, so
V the null hypothesis. There is
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 276 vinyl gloves, 57% leaked viruses. Among 276 latex gloves, 14% 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. A Click the icon to view the technology results. O A. Ho: P, <pP2 H,: P, = P2 U B. Ho: P1 = P2 H,: P, + P2 UL. Mo: Pq F P2 H,: P, = P2 O D. Ho: P1 = P2 H,: P, <P2 O E. Ho: P1 = P2 H,: P,> P2 O F. Ho: P1 > P2 H,: P, = 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 V the significance level a, so V 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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