Published an article about a study in which researchers subjected laboratory gloves to stress. Among 216 vinyl gloves, 68% leaked viruses. Among 216 latex gloves, 6% leaked viruses. Using the accompanying display of the technology results, and using a .05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

     The decision rule is  

Reject the null hypothesis

        The conclusion is

There is no sufficient evidence to show that the claim that the vinyl gloves have a greater virus leak rate than latex gloves

Step-by-step explanation:

From the question we are told that

   The sample size of vinyl gloves

   The sample size of latex gloves is

   The sample proportion  of vinyl gloves that leaked virus is

   The sample proportion of latex gloves that leaked virus is  

    The significance level is  

The  null hypothesis is

The alternative hypothesis is  

Generally the number of vinyl gloves that leaked virus is

=>    

=>    

Generally the number of latex gloves that leaked virus is

=>    

=>    

Generally the pooled population proportion is mathematically represented as

=>            

=>            

Generally the test statistics is mathematically represented as

=>        

=>        

From the z table  the area under the normal curve to the right  corresponding to  13.35  is

Generally the p-value is mathematically represented as

=>  

=>  

From the value obtained we see that   hence we have that

       The decision rule is  

Reject the null hypothesis

        The conclusion is

There is no sufficient evidence to show that the claim that the vinyl gloves have a greater virus leak rate than latex gloves

f is the midpoint of

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.