# A newspaper published an artic

9-1

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 270 vinyl​ gloves, 56​% leaked viruses. Among 270 latex​ gloves, 14​% 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.

Pooled​ proportion: 0.35
Test​ statistic, z: 10.2980
Critical​ z: 1.6449
​ P-value: 0.0000

90​%

Confidence​ interval:

0.3617660<p1−p2< 0.4826784

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_____ the significance level α​, so the null hypothesis. There is _______ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

# A newspaper published an artic

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 232 vinyl​ gloves, 66​% leaked viruses. Among 232 latex​ gloves, 15​% 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.

 Pooled​ proportion: 0.40 Test​ statistic, z: 11.0735 Critical​ z: 1.6449 ​ P-value: 0.0000   90​% Confidence​ interval: 0.4400564

What are the null and alternative​ hypotheses?

Identify the test statistic.

Critical Value?

P-Value?

Conclusion?

# A newspaper published an artic

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.

# A newspaper published an artic

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 299 vinyl​ gloves, 68​% leaked viruses. Among 299 latex​ gloves, 10​% 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: 0.39 Test​ statistic, z: 14.6745 Critical​ z: 2.3264 ​ P-value: 0.0000   98​% Confidence​ interval: 0.5110624
What are the null and alternative​ hypotheses?
Identify the test statistic?
Identify the​ P-value.?
What is the conclusion for this​ test?
Is there sufficent evidence?

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