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:
27 of the pets are dogs.
Step-by-step explanation:
Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.
45/100=0.45
0.45*60=27
Answer:
Log [x^2 / yz^2]
Step-by-step explanation:
2log(x) =log(x^2)
-log(y) = The minus sign means that you can divide it by first log(x^2)
-2log(z) =log(z^2), and the minus sign again means you can divide it by the first log(x^2)
So, the whole thing can be written like this:
Log(x^2) / [log(y)*log(z^2)], OR:
Log [x^2 / yz^2]
Answer: n + 9+4 = -2
Step-by-step explanation:
Answer:
The surface area would be ten. Just remove the topmost cubes.
Step-by-step explanation:
