A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228228 vinyl gloves, 6767% leaked viruses. Among 228228 latex gloves, 55% leaked viruses. Using the accompanying display of the technology results, and using a 0.050.05 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: 0.36Test statistic, z: 13.7408Critical z: 1.6449P-value: 0.000090% Confidence interval:0.5617546 < p, - P2 < 0.6750875 What are the null and alternative hypotheses?O A. Ho: P1 P2Identify 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 isV the significance level a, soV the null hypothesis. There isV evidence to support the claim that vinyl gloveshave a greater virus leak rate than latex aloves

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Description: A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228228 vinyl gloves, 6767% leaked viruses. Among 228228 latex gloves, 55% leaked viruses. Using the accompanying display of the techn

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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
228
228 vinyl gloves,
67
67% leaked viruses. Among
228
228 latex gloves,
5
5% leaked viruses. Using the accompanying display of the technology results, and using a
0.05
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.

Pooled proportion: 0.36
Test statistic, z: 13.7408
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.5617546 < p, - P2 < 0.6750875

What are the null and alternative hypotheses?
O A. Ho: P1 <P2
H,: P1 = P2
О В. Но Р1 Р2
H4: P1 = P2
OC. Ho: P1 #P2
H,: P1 = P2
O D. Ho: P1 = P2
H4: 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
V evidence to support the claim that vinyl gloves
have a greater virus leak rate than latex aloves

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