A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 212 vinyl gloves 65% leaked viruses. Among 212 latex gloves, 11% 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.
Technology Results
Pooled proportion: 0.41
Test statistics, z: 10.9685
Critical, z: 1.2816
P-value: 0.0000
80% Confidence interval: a) What are the null and alternative hypothesis?
b) Identify the test statistic.