A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 262 vinyl gloves, 63% leaked viruses. Among 262 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? O A. Ho: P1> P2 H,: P1 = P2 OC. Ho: P1 = P2 O B. Ho: P1 #P2 H1:P1 = P2 H,: P, # P2 O D. Ho: P1 = P2 H,: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 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 262 vinyl gloves, 63%
leaked viruses. Among 262 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?
O A. Ho: P1 > P2
H1: P1 = P2
B. Ho: P1 # P2
H1:P1 = P2
OC. Ho: P1 = P2
H,: P, #P2
O D. Ho: P1 = P2
H1: P1 <P2
O F. Ho: P1 = P2
H1: P, > P2
E. 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
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 262 vinyl gloves, 63% leaked viruses. Among 262 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? O A. Ho: P1 > P2 H1: P1 = P2 B. Ho: P1 # P2 H1:P1 = P2 OC. Ho: P1 = P2 H,: P, #P2 O D. Ho: P1 = P2 H1: P1 <P2 O F. Ho: P1 = P2 H1: P, > P2 E. 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 evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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