A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 222 vinyl​ gloves, 56​% leaked viruses. Among 222 latex​gloves, 9​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.01 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: 0.33 Test​ statistic, z: 10.6258 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.3835533 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 (less than/greater than) the significance level a, so (fail to reject/reject) the null hypothesis. There is (insufficient/sufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

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
Question

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 222 vinyl​ gloves, 56​% leaked viruses. Among 222 latex​gloves, 9​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.01 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: 0.33
Test​ statistic, z: 10.6258
Critical​ z: 2.3264
​ P-value: 0.0000
 
98​%
Confidence​ interval:
0.3835533<p1−p2<0.5623926

=>

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 (less than/greater than) the significance level a, so (fail to reject/reject) the null hypothesis. There is (insufficient/sufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax