Answer: 99% confidence interval would be (0.13,0.26).
Step-by-step explanation:
Since we have given that
Sample size n = 1418
x = 354
So, ![\hat{p}=\dfrac{x}{n}=\dfrac{354}{1418}=0.249](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7Bx%7D%7Bn%7D%3D%5Cdfrac%7B354%7D%7B1418%7D%3D0.249)
At 99% level of significance, z = 2.58
So, interval would be
![\hat{p}\pm z\sqrt{\dfrac{p(1-p)}{n}}}\\=0.249\pm 2.58\times \sqrt\dfrac{0.249\times (1-0.249)}{1418}}}\\\\=0.249\pm 0.01148\\\\=(0.249-0.01148,0.249+0.01148)\\\\=(0.13,0.26)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%3D0.249%5Cpm%202.58%5Ctimes%20%5Csqrt%5Cdfrac%7B0.249%5Ctimes%20%281-0.249%29%7D%7B1418%7D%7D%7D%5C%5C%5C%5C%3D0.249%5Cpm%200.01148%5C%5C%5C%5C%3D%280.249-0.01148%2C0.249%2B0.01148%29%5C%5C%5C%5C%3D%280.13%2C0.26%29)
Hence, 99% confidence interval would be (0.13,0.26).
I believe it is
X= (-7.5,0)
Y= (5.5,0)
First make the equation equal y
Y=-2x-6
Then rearrange to make x the subject
2x=-y-6
X=(-y-6)/2
Then change the y's to x's
Inverse=(-x-6)/2
J is your answer.
Slope is rise over run + your Y intercept.
Your y- intercept is the point in the graph in which the line passes through, the line passes through -2, so you know -2 is going to be your answer at the end. And slope is rise/run.
From one point to another, you rise 1 time , and run over 3 so you know your answer is
y = 1/3x - 2
hope this helps :)