What are the null and alternative​ hypotheses?       Identify the test statistic.  (round to two decimal places as needed)  Identify the​ P-value. (round to four decimal places as needed)  What is the conclusion for this test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 237 vinyl​ gloves, 70​% leaked viruses. Among 237 latex​ gloves, 7​% 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 two decimal places as needed) 



Identify the​ P-value.

(round to four decimal places as needed) 



What is the conclusion for this test? 

 

The P-value is ___________ ( less than/greater than) the significance level α​, so __________ ( reject/fail to reject) the null hypothesis. There is ________ ( sufficient/insufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

 

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