Answer:
you<u> accept </u>the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
![H_o: p = 0.64 \\ \\ H_1: p \le 0.64](https://tex.z-dn.net/?f=H_o%3A%20p%20%3D%200.64%20%5C%5C%20%5C%5C%20H_1%3A%20p%20%5Cle%200.64)
The sample proportion ![\hat p = \dfrac{x}{n}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D)
![\hat p = \dfrac{52}{100}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7B52%7D%7B100%7D)
![\hat p = 0.52](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%200.52)
The test statistics can be computed as:
![Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B%5Chat%20p%20-p_o%7D%7B%20%5Csqrt%7B%20%5Cdfrac%7Bp_o%20%5Ctimes%20%281-p_o%29%7D%7B%20n%7D%20%7D%7D%7D)
![Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B0.52%20-0.64%7D%7B%20%5Csqrt%7B%20%5Cdfrac%7B0.64%20%5Ctimes%20%281-0.64%29%7D%7B%20100%7D%20%7D%7D%7D)
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Answer:
The point-slope form of this equation is y - 2 = 3/2(x + 1)
Step-by-step explanation:
To find the answer to any equation in point slope form, start with the base form of the equation.
y - y1 = m(x - x1)
Now input the slope for m and the point at (x1, y1)
y - 2 = 3/2(x + 1)
-9 i believe because 9x3=27
We are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
First, we know that b must be -1 because the line hits the y-axis when y is -1
So this leaves us with either the first or second choice
Then we choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
So then we know the answer is y=3x-1
Hope this helps