Question

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 223 vinyl​ gloves, 65​% leaked viruses. Among 223 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.

i need the test statistic and possibly the p-value

Answer 1

The value of the pooled proportion is computed as :

(4) Decision about the null hypothesis

Hence, there is enough evidence to conclude that vinyl gloves have a greater virus leak rate than latex gloves at 10% level of significance.