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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl​ gloves, 61​% leaked viruses. Among 245 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. What are the null and alternative​ hypotheses? 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 ▼ less than, greater than the significance level alpha​, so ▼ fail to reject, reject the null hypothesis. There is ▼ insufficient, sufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl​ gloves, 61​% leaked viruses. Among 245 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. What are the null and alternative​ hypotheses? 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 ▼ less than, greater than the significance level alpha​, so ▼ fail to reject, reject the null hypothesis. There is ▼ insufficient, sufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl​ gloves, 61​% leaked viruses. Among 245 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.

  • What are the null and alternative​ hypotheses?
  • 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 ▼ less than, greater than the significance level alpha​, so ▼ fail to reject, reject the null hypothesis. There is ▼ insufficient, sufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
 
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl gloves, 61% leaked viruses. Among 245 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. 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 245 vinyl gloves, 61% leaked viruses. Among 245 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. 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.
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl gloves, 61% leaked viruses. Among 245 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. 1 Click the icon to view the technology results. What are the null and alternative hypotheses? O A. Ho: P1 #P2 H,: P, = P2 OC. Ho: P, < P2 H,: P, = P2 O B. Ho: P1 = P2 H,: P, + P2 O E. Ho: P1> P2 H,: P, = P2 O D. Ho: P1 = P2 H,: P, <P2 OF. Ho: P1 = P2 H,: P, > P2 Identify the test statistic. - X Technology Results (Round to two decimal places as needed.) Identify the P-value. Pooled proportion: 0.35 Test statistic, z: 12.0046 Critical z: 1.2816 P-value: 0.0000 IDound to three docimal nlacos ac noodod I Click to select your answer(s). 80% Confidence interval: 0.4718736 <p, - P2 < 0.5648611
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 245 vinyl gloves, 61% leaked viruses. Among 245 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. 1 Click the icon to view the technology results. What are the null and alternative hypotheses? O A. Ho: P1 #P2 H,: P, = P2 OC. Ho: P, < P2 H,: P, = P2 O B. Ho: P1 = P2 H,: P, + P2 O E. Ho: P1> P2 H,: P, = P2 O D. Ho: P1 = P2 H,: P, <P2 OF. Ho: P1 = P2 H,: P, > P2 Identify the test statistic. - X Technology Results (Round to two decimal places as needed.) Identify the P-value. Pooled proportion: 0.35 Test statistic, z: 12.0046 Critical z: 1.2816 P-value: 0.0000 IDound to three docimal nlacos ac noodod I Click to select your answer(s). 80% Confidence interval: 0.4718736 <p, - P2 < 0.5648611
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