Answer:
You have the right answer
Step-by-step explanation
Answer:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 865, \pi = \frac{408}{865} = 0.4717](https://tex.z-dn.net/?f=n%20%3D%20865%2C%20%5Cpi%20%3D%20%5Cfrac%7B408%7D%7B865%7D%20%3D%200.4717)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.4717%20-%201.96%5Csqrt%7B%5Cfrac%7B0.4717%2A0.5283%7D%7B865%7D%7D%20%3D%200.4384)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.4717%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.4717%2A0.5283%7D%7B865%7D%7D%20%3D%200.5050)
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Answer: -1/2 or -0.5.
Explanation: -2- -1, -6- -2= -0.5
Answer:
C. 88
Explanation:
f(x) = 4x + 8 || g(x) = x² + x
fg( -5 )
go from right to left in such function problems.
replace x with [ -5 ]
f( (-5)² -5)
f(20)
[ replace x with 20 ]
4(20) + 8
80 + 8
88