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.
Confidence interval:
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<p1−p2<
|
What are the null and alternative hypotheses?
Identify the test statistic.
Critical Value?
P-Value?
Conclusion?
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
|
=>
|
Pooled proportion: 0.39
Test statistic, z: 14.6745
Critical z: 2.3264
P-value: 0.0000
98%
Confidence interval: 0.5110624<p1−p2<
|
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