Answer: the c
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:
x-int: (3, 0)
y-int: (0, 2)
Step-by-step explanation:
The x-int is found when y = 0. Set <em>y</em> to 0 to solve for the x-int.
The y-int is found when x = 0. Set <em>x</em> equal to 0 to solve for the y-int.
Answer:
Step-by-step explanation:
a+pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
a= 353.25ft^2
The length of hypotenuse is 39.
Step-by-step explanation:
Given,
Vertical side = a = 15
Horizontal side = b = 36
Hypotenuse = c
Using pythagorean theorem
![a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C%2815%29%5E2%2B%2836%29%5E2%3Dc%5E2%5C%5C225%2B1296%3Dc%5E2%5C%5C1521%3Dc%5E2%5C%5Cc%5E2%3D1521)
Taking square root on both sides
![\sqrt{c^2}=\sqrt{1521}\\c=39](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E2%7D%3D%5Csqrt%7B1521%7D%5C%5Cc%3D39)
The length of hypotenuse is 39.
Keywords: square root, addition
Learn more about square roots at:
#LearnwithBrainly