This can be represented by the expression 4d.
Answer:
Since they use random sampling then we can conclude that the two estimators would be unbiased of the real parameter.
So then the best answer would be:
c. The sample proportion, ^p, in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.
Step-by-step explanation:
For this case we have a first sample size
and from this sample we have
people who anwswer yes and the estimated proportion of yes is given by:
![\hat p_1 = \frac{x_1}{n_1}](https://tex.z-dn.net/?f=%5Chat%20p_1%20%3D%20%5Cfrac%7Bx_1%7D%7Bn_1%7D)
And let a second sample size
and from this sample we have
people who anwswer yes and the estimated proportion of yes is given by:
![\hat p_2 = \frac{x_2}{n_2}](https://tex.z-dn.net/?f=%5Chat%20p_2%20%3D%20%5Cfrac%7Bx_2%7D%7Bn_2%7D)
For this case we know that the true proportion is ![p](https://tex.z-dn.net/?f=p)
Since they use random sampling then we can conclude that the two estimators would be unbiased of the real parameter.
So then the best answer would be:
c. The sample proportion, ^p, in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.
Answer:
m>11
Step-by-step explanation:
2(m+3)<-5+3m
2(m+3)>3m-5
2m+6>3m-5
6<3m-5-2m
6<m-5
6+5<m
11<m
m>11
Answer:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is
![y=-3x^{2}+12x-33](https://tex.z-dn.net/?f=y%3D-3x%5E%7B2%7D%2B12x-33)
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3
![y=-3(x^{2}-4x)-33](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%29-33)
Complete the square
![y=-3(x^{2}-4x+2^2)-33+12](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%2B2%5E2%29-33%2B12)
![y=-3(x^{2}-4x+4)-21](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%2B4%29-21)
Rewrite as perfect squares
![y=-3(x-2)^{2}-21](https://tex.z-dn.net/?f=y%3D-3%28x-2%29%5E%7B2%7D-21)
The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21