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 latexgloves, 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.
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 latexgloves, 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
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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 latexgloves, 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.
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