Answer:
Test statistics = 2.29
P-value = 0.01101
Step-by-step explanation:
We are given that a survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke.
Let Null Hypothesis,
: p = 0.18 {means that the percentage of students who smoke has remained same at 18% over the last five years}
Alternate Hypothesis,
: p > 0.18 { means that the percentage of students who smoke has increased over the last five years}
The test statistics used here will be ;
T.S. =
~ N(0,1)
where,
= sample proportion of students = 50/200 = 0.25
n = sample size = 200
So, test statistics =
= 2.29
Now, P-value is given by = P(Z > 2.29) = 1 - P(Z <= 2.29)
= 1 - 0.98899 = 0.01101 or 1.101 %
Therefore, P-value of the test is 0.01101 .
Answer:use math away . c o m
Step-by-step explanation:
Answer:

Step-by-step explanation:
Hey there!
Standard form is what this equation is in
Standard form is this: 
So order to complete the square, you need to take the
term out of the equation, divide it by two, and then square it
In this case, the
term is 8
We need to divide 8 by 2 ---> 4
Then square 4 ---> 16
So now you should add 16 to both sides

Now you can simplify the LHS

Now you subtract 16 from both sides

So this is as far as you can go since you cannot take the square root of a negative number
Answer:
mean is 4
Step-by-step explanation: