<h2><u>
Answer with explanation:</u></h2>
Let p be the proportion of voters in a certain state support an increase in the minimum wage.
As per given , we have
![H_0: p =0.70\\\\ H_a: p >0.70](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D0.70%5C%5C%5C%5C%20H_a%3A%20p%20%3E0.70)
Since alternative hypothesis is right-tailed so the test is a right-tailed test.
Test statistic : ![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
, where n= sample size.
p= population proportion.
= sample proportion.
. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.
i.e. n= 300 and ![\hat{p}=\dfrac{240}{300}=0.8](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B240%7D%7B300%7D%3D0.8)
Then,
![z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.8-0.7%7D%7B%5Csqrt%7B%5Cdfrac%7B0.7%281-0.7%29%7D%7B300%7D%7D%7D%5Capprox3.78)
For significant level α = .05 , the critical z-value is
![z_{0.05}=1.645](https://tex.z-dn.net/?f=z_%7B0.05%7D%3D1.645)
Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.
Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..
Answer:
<h3>42.78</h3>
Step-by-step explanation:
7.13
* 6
-------
42.78
(6 times all numbers on top.)
Answer:
Triangles always have 180°, split in some manner between the three angles. With two of the three angles given, you can set up a relatively simple equation, where the third angle is assigned to the variable x:
45°+85°+x=180°
130°+x=180°
x=50°