Answer:
I used excel to construct. Import data, select the ones u need go to Insert>Scatter(in chart) and plot
Answer:
5.13
Step-by-step explanation:
Number of sampled workers= n= 1000
Percentage of residents favouring construction= p' = 60% = 60/100= 0.6.
Testing the claim that the percentage of people favouring the construction is more than 56%= p= 56/100 = 0.56.
To calculate the test statistics we use the formula below;
Test statistics= √n (p' - p)/ √[p×(1-p)] -----------(1).
Substituting the value into equation (1) above, we have;
Test statistics= √1000 (0.6-0.56) / √[0.56×(1-0.56)]
Test statistics= (31.62)(0.04) / √0.5(0.44) = 1.2648/ 0.2464
Test statistics= 5.13312
= 5.13 (to 2 decimal places)
F(3) = 2(3)+6
f(3)= 6+6
f(3)=12
Hope this helps!
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