A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 223 vinyl​ gloves, 57​% leaked viruses. Among 223 latex​ gloves, 5​ leaked viruses....

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 223 vinyl​ gloves, 57​% leaked viruses. Among 223 latex​ gloves, 5​ leaked viruses. Using the accompanying display of the technology​ results, and using a 0.01 significance​ level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

H^0: p^1=p^2

H^1: p^1>p^2

test statistic: 11.8

identify the p-value: round to 3 decimals