a newspaper published an article about a stud...
a newspaper published an article about a study in which researchers subjected laboratory gloves to stress. among 259 vinyl gloves, 70% leaked viruses. among 250 latex gloves, 14% 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.\nclick the icon to view the technology results.\nwhat are the null and alternative hypotheses?\na. $h_0:p_1 = p_2$ $h_1:p_1 < p_2$\nb. $h_0:p_1 = p_2$ $h_1:p_1 > p_2$\nc. $h_0:p_1 < p_2$ $h_1:p_1 = p_2$\nd. $h_0:p_1 > p_2$ $h_1:p_1 = p_2$\ne. $h_0:p_1\neq p_2$ $h_1:p_1 = p_2$\nf. $h_0:p_1 = p_2$ $h_1:p_1\neq p_2$
Answer
# Explanation:
## Step1: Define null and alternative hypotheses
The null hypothesis $H_0$ is a statement of no - effect or no difference. The alternative hypothesis $H_1$ is what we are trying to find evidence for. We want to test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let $p_1$ be the proportion of vinyl gloves that leak viruses and $p_2$ be the proportion of latex gloves that leak viruses.
The null hypothesis is that there is no difference between the two proportions, i.e., $H_0:p_1 = p_2$. The alternative hypothesis is that the proportion of vinyl gloves that leak viruses is greater than the proportion of latex gloves that leak viruses, i.e., $H_1:p_1>p_2$.
# Answer:
B. $H_0:p_1 = p_2$
$H_1:p_1>p_2$