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)
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.
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.
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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