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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
icon
Related questions
Question

D? please and thank you

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt