Question #1

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 253 vinyl gloves, 63% leaked viruses. Among 253 latex gloves, 6%

leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

View the technology results.

Technology results

Pooled proportion: 0.34

Test statistic, z: 13.5893

Critical z: 1.2816

P-value: 0.0000

80% Confidence interval:

0.5300514 < p₁ p₂ < 0.6161936

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 __________ ( A. less than, B. greater than ) the significance level , so __________ ( A. fail to reject, B. reject ) the null hypothesis. There is __________ ( A. insufficient, B. sufficient ) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.