Testing Laboratory Gloves: The New York Times ran an article about a study in which Professor Denise Korniewicz and other John Hopkins researchers subjected laboratory gloves to stress. Among 240 vinyl gloves, 151 gloves leaked virus. Among 240 latex gloves, 17 leaked virus. At the 1% significance level, test the claim that vinyl gloves have a higher virus leak rate than latex gloves. Let: = proportion of vinyl gloves that leaked virus and = proportion of latex gloves that leaked virus.
Testing Laboratory Gloves: The New York Times ran an article about a study in which Professor Denise Korniewicz and other John Hopkins researchers subjected laboratory gloves to stress. Among 240 vinyl gloves, 151 gloves leaked virus. Among 240 latex gloves, 17 leaked virus. At the 1% significance level, test the claim that vinyl gloves have a higher virus leak rate than latex gloves. Let: = proportion of vinyl gloves that leaked virus and = proportion of latex gloves that leaked virus.
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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D? please and thank you
Transcribed Image Text:Testing Laboratory Gloves: The New York Times ran an article about a study in
which Professor Denise Korniewicz and other John Hopkins researchers subjected
laboratory gloves to stress. Among 240 vinyl gloves, 151 gloves leaked virus.
Among 240 latex gloves, 17 leaked virus. At the 1% significance level, test the claim
that vinyl gloves have a higher virus leak rate than latex gloves.
Let: proportion of vinyl gloves that leaked virus and = proportion of latex gloves that
leaked virus.
=
Perform the hypothesis test, using the 5-step process:
a) State Ho and Ha and determine he type of test (right-tail, left-tail, two tail).
b) Determine the critical value and state it -- for example, z = = 1.96 ort= -2.421,
etc).
c) Compute the test value and the p-value of the test.
d) Make the decision to Reject Ho or Do not reject Ho.
e) State your complete conclusion in the context of the claim.
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