Anewspaper published an article about a study in which researchers subjected laboratory gloves to stress. among 225 vinyl gloves, 60% leaked viruses. among 225 latex gloves, 9% leaked viruses. using the accompanying display of the technology results, and using a 0.05 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: 0.35
test statistic, z: 11.2921
critical z: 1.6449
p-value: 0.
90? % confidence? interval:
0.4441890 < p1, p2 < 0.5691444
a) what are the null and alternative hypotheses?
b) identify the test statistic
c) identify the p-value
d) what is the conclusion for the test?