A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 236 vinyl gloves, 63% leaked viruses. Among 236 latex gloves, 9% 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 O F. Ho: P1 > P2 H,: 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Technology results
Pooled proportion: 0.36
Test statistic, z: 12.1930
Critical z: 1.2816
P-value: 0.0000
80% Confidence interval:
0.4913222 < p1 - P2 <0.5849490
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Transcribed Image Text:Technology results Pooled proportion: 0.36 Test statistic, z: 12.1930 Critical z: 1.2816 P-value: 0.0000 80% Confidence interval: 0.4913222 < p1 - P2 <0.5849490 Print Done
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 236 vinyl gloves, 63% leaked viruses. Among 236
latex gloves, 9% 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.
What are the null and alternative hypotheses?
O A. Ho: P1 < P2
H1: P1 = P2
O B. Ho: P1 = P2
H1: P1 #P2
OC. Ho: 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
V the significance level a, so
the null hypothesis. There is
V 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 236 vinyl gloves, 63% leaked viruses. Among 236 latex gloves, 9% 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. What are the null and alternative hypotheses? O A. Ho: P1 < P2 H1: P1 = P2 O B. Ho: P1 = P2 H1: P1 #P2 OC. Ho: 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 V the significance level a, so the null hypothesis. There is V evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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