Answer: 0.750
Step-by-step explanation:
Let p be the population proportion .
We are given that a sample of 400 voters reveals that 300 would support her in the November election.
Then the sample proportion for this situation will be :-

Since the sample proportion is the best point estimate for the population proportion.
Therefore, the estimated value of the population proportion =0.750
The answer to your "Question" would be A.
If you are trying to find the distance between both points, the answer would be (A). you can find this by simply using the Distance formula and inputting (-4, 1) and (5, 4) into the x1, x2, y1, and y2 spots and finding the answer.
Hope this helped!
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
Answer:
a) n= 1045 computers
b) n= 442 computers
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
Step-by-step explanation:
Hello!
The variable of interest is
X: Number of computers that use the new operating system.
You need to find the best sample size to take so that the proportion of computers that use the new operating system can be estimated with a 99% CI and a margin of error no greater than 4%.
The confidence interval for the population proportion is:
p' ±
* 

a) In this item there is no known value for the sample proportion (p') when something like this happens, you have to assume the "worst-case scenario" that is, that the proportion of success and failure of the trial are the same, i.e. p'=q'=0.5
The margin of error of the interval is:
d=
* 



![n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2](https://tex.z-dn.net/?f=n%3D%20%5Bp%27%281-p%27%29%5D%2A%28%5Cfrac%7BZ_%7B1-%5Calpha%20%2F2%7D%7D%7Bd%7D%20%29%5E2)
![n=[0.5(1-0.5)]*(\frac{2.586}{0.04} )^2= 1044.9056](https://tex.z-dn.net/?f=n%3D%5B0.5%281-0.5%29%5D%2A%28%5Cfrac%7B2.586%7D%7B0.04%7D%20%29%5E2%3D%201044.9056)
n= 1045 computers
b) This time there is a known value for the sample proportion: p'= 0.88, using the same confidence level and required margin of error:
![n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2](https://tex.z-dn.net/?f=n%3D%20%5Bp%27%281-p%27%29%5D%2A%28%5Cfrac%7BZ_%7B1-%5Calpha%20%2F2%7D%7D%7Bd%7D%20%29%5E2)
![n= [0.88*0.12]*(\frac{{2.586}}{0.04})^2= 441.3681](https://tex.z-dn.net/?f=n%3D%20%5B0.88%2A0.12%5D%2A%28%5Cfrac%7B%7B2.586%7D%7D%7B0.04%7D%29%5E2%3D%20441.3681)
n= 442 computers
c) The additional information in part b affected the required sample size, it was drastically decreased in comparison with the sample size calculated in a).
I hope it helps!
Number of hours : 1 , 1.5 , 2 , 2.5
Distance : 10 , 30 , 50 , 70