Answer:
-Accept ![H_o](https://tex.z-dn.net/?f=H_o)
-There is no sufficient evidence to back the claim that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7
Step-by-step explanation:
-We state our hypotheses as:
![H_o:p=0.7\\\\\\H_a:p>0.7](https://tex.z-dn.net/?f=H_o%3Ap%3D0.7%5C%5C%5C%5C%5C%5CH_a%3Ap%3E0.7)
#We the calculate the proportion to be studied using the formula:
![\hat p=\frac{x}{n}\\\\=\frac{710}{1000}\\\\=0.71](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7Bx%7D%7Bn%7D%5C%5C%5C%5C%3D%5Cfrac%7B710%7D%7B1000%7D%5C%5C%5C%5C%3D0.71)
-The z-value from this proportion is calculated as follows:
![z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\=\frac{0.71-0.7}{\sqrt{\frac{0.7\times0.3}{1000}}}\\\\\\=0.6901](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p-p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B0.71-0.7%7D%7B%5Csqrt%7B%5Cfrac%7B0.7%5Ctimes0.3%7D%7B1000%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D0.6901)
#We compare this z-value to the z-value at 95% confidence level:
![z_{0.025}=1.645\\\\0.6901](https://tex.z-dn.net/?f=z_%7B0.025%7D%3D1.645%5C%5C%5C%5C0.6901%3C1.645)
Hence, Accept the null hypothesis.
-There is no sufficient evidence to back the claim that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7
Answer:
250 in²
Step-by-step explanation:
There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.
4( l x b) + 2( l x b)
4( 10 x 5) + 2(5 x 5)
4(50) + 2(25)
200 + 50
Therefore 250 in²
2 x pi x 5 = 31.5 ft
633/31.5 = 20.1 revolutions
Answer:
I = 15
Step-by-step explanation:
The formula for finding interest is I=PRT.
I = Interest
P = Principal (dollars)
R = Rate (percent in decimal form)
T = time (in years)
So, I = 1000×0.02×0.75
Multiply those numbers, and get 15 as interest.