A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 latex gloves, 9% 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. A Click the icon to view the technology results. U A. Ho: P = P2 H,: P, > P2 UB. Mo: Pi = P2 H,: P, # P2 t. Ho: P, = P2 Technology Results O D. Hg: P, #P2 H,: P, =P2 O E. Ho: P,> P2 H,: P, = P2 Pooled proportion: 0.33 Test statistic, z: 10.9407 Critical z: 1.6449 P-value: 0.0000 Identify the test statistic. (Round to two decimal places as needed.) 90% Confidence interval: 0.4164166

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl​ gloves, 57 ​% leaked viruses. Among 230 latex​ gloves, 9 ​% 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.

  • What are the null and alternative​ hypotheses?
  • Identify the test statistic. (Round to 2 decimal places)
  • Identify the​ P-value. (Round to 3 decimal places)
  • What is the conclusion for this​ test?
 
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 latex gloves, 9% 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.
A Click the icon to view the technology results.
O A. Ho: P1 =P2
U B. Hg: P1 = P2
H,: P, + P2
O E. Ho: P1> P2
H,: P, = P2
L. Ho: P1= P2
H,: P, > P2
- X
Technology Results
O D. Ho: P1 #P2
H,: P, = P2
Pooled proportion: 0.33
Test statistic, z: 10.9407
Critical z: 1.6449
Identify the test statistic.
(Round to two decimal places as needed.)
P-value: 0.0000
Identify the P-value.
90% Confidence interval:
|0.4164166 < p, - P2 < 0.5401052
(Round to three decimal places as needed.)
Print
Done
What is the conclusion for this test?
The P-value is
V the significance level a, so
the null hypothesis. There is
evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
Transcribed Image Text:A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 57% leaked viruses. Among 230 latex gloves, 9% 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. A Click the icon to view the technology results. O A. Ho: P1 =P2 U B. Hg: P1 = P2 H,: P, + P2 O E. Ho: P1> P2 H,: P, = P2 L. Ho: P1= P2 H,: P, > P2 - X Technology Results O D. Ho: P1 #P2 H,: P, = P2 Pooled proportion: 0.33 Test statistic, z: 10.9407 Critical z: 1.6449 Identify the test statistic. (Round to two decimal places as needed.) P-value: 0.0000 Identify the P-value. 90% Confidence interval: |0.4164166 < p, - P2 < 0.5401052 (Round to three decimal places as needed.) Print Done What is the conclusion for this test? The P-value is V the significance level a, so the null hypothesis. There is evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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