A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 202 vinyl gloves, 63% leaked viruses. Among 202 latex gloves, 11% 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 B. Ho: P1 = P2 O A. Ho: P1 =P2 H1: P1 > P2 O C. Ho: P1 #P2 H1:P1 = P2 H1: P1 P2 O F. Ho: P1

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 202 vinyl gloves, 63% leaked viruses. Among 202
latex gloves, 11% 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?
C. Ho: P1 + P2
H1: P1 = P2
O A. Ho: P1 = P2
В. Но: Р1 3 Р2
H1:P1 > P2
H1:P1 <P2
O D. Ho: P1 = P2
H1:P1 # P2
O E. Ho: P1 > P2
H1: P1 = P2
O F. 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 202 vinyl gloves, 63% leaked viruses. Among 202 latex gloves, 11% 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? C. Ho: P1 + P2 H1: P1 = P2 O A. Ho: P1 = P2 В. Но: Р1 3 Р2 H1:P1 > P2 H1:P1 <P2 O D. Ho: P1 = P2 H1:P1 # P2 O E. Ho: P1 > P2 H1: P1 = P2 O F. 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.
Technology Results
Pooled proportion: 0.37
Test statistic, z: 10.9153
Critical z: 1.2816
P-value: 0.0000
80% Confidence interval:
0.4730181 < p1 - P2 <
< 0.5764869
Print
Done
Transcribed Image Text:Technology Results Pooled proportion: 0.37 Test statistic, z: 10.9153 Critical z: 1.2816 P-value: 0.0000 80% Confidence interval: 0.4730181 < p1 - P2 < < 0.5764869 Print Done
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