Answer: 0.0158
Step-by-step explanation:
Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.
According to the given information we have,
Sample size : n= 1000
Sample proportion: ![\hat{p}=\dfrac{470}{1000}=0.47](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B470%7D%7B1000%7D%3D0.47)
The standard error for proportion is given by :-
![S.E.=\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=S.E.%3D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![S.E.=\sqrt{\dfrac{0.47(1-0.47)}{1000}}](https://tex.z-dn.net/?f=S.E.%3D%5Csqrt%7B%5Cdfrac%7B0.47%281-0.47%29%7D%7B1000%7D%7D)
![S.E.=\sqrt{0.0002491}](https://tex.z-dn.net/?f=S.E.%3D%5Csqrt%7B0.0002491%7D)
![S.E.=0.0157829021412\approx0.0158](https://tex.z-dn.net/?f=S.E.%3D0.0157829021412%5Capprox0.0158)
[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
Answer:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Step-by-step explanation:
Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.
Linear regression represents the relationship between two variables. the value of y depends on the value of x.
x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y
y = 2.1 x + 130
y = 2.1 (150) + 130
y= 445
The company expects $445 in sales
![\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-2%29%5E2%7D%7B49%7D%2B%5Cdfrac%7B%28y%2B5%29%5E2%7D%7B36%7D%3D1)
The equation of a elipse:
![\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%5Cdfrac%7By%5E2%7D%7Bb%5E2%7D%3D1)
The length of the major axis is equal 2a if a > b or 2b if b > a.
We have
![a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b](https://tex.z-dn.net/?f=a%5E2%3D49%5Cto%20a%3D%5Csqrt%7B49%7D%3D7%5C%5C%5C%5Cb%5E2%3D36%5Cto%20b%3D%5Csqrt%7B36%7D%3D6%5C%5C%5C%5Ca%20%3E%20b)
therefore the length of the major axis is equal 2 · 7 = 14.
That was so sophisticated I pooped myself