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Description: A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 266 vinyl gloves, 67% leaked viruses. Among 266latex gloves, 14% leaked viruses. Using the accompanying display of the technology re

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 266 vinyl gloves, 67% leaked viruses. Among 266latex gloves, 14% 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.

Pooled proportion:0.40 Test statistic, z:12.6341 Critical z:1.2816 P-value:0.0000 80% Confidence interval: 0.4919708<p1-p2<0.5832171

What are the null and alternative hypotheses?

H0:p1=p2

H1:p1>p2

H0:p1≠p2

H1:p1=p2

H0:p1>p2

H1:p1=p2

H0:p1<p2

H1:p1=p2

H0:p1=p2

H1:p1<p2

H0: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 (greater than or less than) the significance level α, so (fail to reject or reject) the null hypothesis. There is (sufficient or insufficient)
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

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