A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl gloves, 58% leaked viruses. Among 260 latex gloves, 8% 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.

Identify: null, alternative hypothesis, test statistic, and P-value.