Question

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 299 vinyl gloves, 60% leaked viruses. Among 299 latex gloves, 5% leaked viruses. See the accompanying display of the technology results. 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. Identify null, alternative hypothesis, test statistic, and P-value.

(Table at bottom of the question)

Technology results:

Pooled proportion: 0.33

Test statistic, z: 14.2190

Critical z: 1.6449

P-value: 0.0000

90% Confidence interval: 0.4938438 < p1 - p2 < 0.5964572

Answer 1