Answer:
Step-by-step explanation:
94.6
Answer: a) 1.07, b) 0.1423
Step-by-step explanation:
Since we have given that
n = 1400
Number of voters vote for Republican candidates = 720
So, ![\hat{p}=\dfrac{720}{1400}=0.514286](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B720%7D%7B1400%7D%3D0.514286)
And hypothesis are :
![H_0:p=0.50\\\\H_a:p>0.50](https://tex.z-dn.net/?f=H_0%3Ap%3D0.50%5C%5C%5C%5CH_a%3Ap%3E0.50)
(a) What is the z -statistic for this test?
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.514286-0.50}{\sqrt{\dfrac{0.50\times 0.50}{1400}}}\\\\z=1.06609\approx 1.07](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%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.514286-0.50%7D%7B%5Csqrt%7B%5Cdfrac%7B0.50%5Ctimes%200.50%7D%7B1400%7D%7D%7D%5C%5C%5C%5Cz%3D1.06609%5Capprox%201.07)
(b) What is the P-value of the test?
p-value = P(Z>Z(statistics))
![P(z>1.07)\\\\=0.1423](https://tex.z-dn.net/?f=P%28z%3E1.07%29%5C%5C%5C%5C%3D0.1423)
Hence, a) 1.07, b) 0.1423
Insufficient data please indicate the question
He worked 5 hours in total: 35$ for the first hour, + 23 + 23 + 23 + 23 = 127$ for five hours of work.