Anewspaper published an article about a study in which researchers subjected laboratory gloves to stress. among 258 vinyl gloves, 69% leaked viruses. among 258 latex gloves, 11% 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.
identify: null, alternative hypothesis, test statistic, and p-value.
technology results:
pooled proportion: 0.37
test statistic, z: 11.3049
critical z: 1.2816
p-value: 0.
80% confidence interval: 0.4163430 < p1 ? p2 < 0.5083882