A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 276 vinyl gloves, 63% leaked viruses. Among 276 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.

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 276 vinyl gloves, 63% leaked viruses. Among 276 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.
Technology Results
Pooled proportion: 0.39
Test statistic, z: 11.9784
Critical z: 1.6449
P-value: 0.0000
90% Confidence interval:
0.4377395 <p₁ - P₂ <0.5550141
Transcribed Image Text:Technology Results Pooled proportion: 0.39 Test statistic, z: 11.9784 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.4377395 <p₁ - P₂ <0.5550141
What are the null and alternative hypotheses?
OA. Ho: P1 = P2
H₁: P₁ P2
OD. Ho: P1 P2
H₁: P₁ P2
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 a, so
OB. Ho: P1
H₁: P₁
P2
P2
OE. Ho: P₁ P2
H₁: P₁ = P₂
the null hypothesis. There is
OC. Ho: P₁
H₁: P₁
P2
P2
OF. Ho: P1 P2
H₁: P₁ P₂
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
Transcribed Image Text:What are the null and alternative hypotheses? OA. Ho: P1 = P2 H₁: P₁ P2 OD. Ho: P1 P2 H₁: P₁ P2 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 a, so OB. Ho: P1 H₁: P₁ P2 P2 OE. Ho: P₁ P2 H₁: P₁ = P₂ the null hypothesis. There is OC. Ho: P₁ H₁: P₁ P2 P2 OF. Ho: P1 P2 H₁: P₁ P₂ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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