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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 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?
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