Answer: (0.3409, 0.4459)
Step-by-step explanation:
Given : Level of significance : ![1-\alpha:0.95](https://tex.z-dn.net/?f=1-%5Calpha%3A0.95)
Then , significance level : ![\alpha: 1-0.95=0.05](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.95%3D0.05)
Since , sample size :
Using excel (by going in more formulas and then statistics), Critical value : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Also, the proportion of people said that they were fans of the visiting team :-
![\hat{p}=\dfrac{ 131}{333}\approx0.3934](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B%20131%7D%7B333%7D%5Capprox0.3934)
The confidence interval for population proportion is given by :-
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![0.3934\pm(1.96)\sqrt{\dfrac{0.3934(1-0.3934)}{333}}\\\\\approx0.3934\pm0.0525\\\\=(0.3934-0.0525, 0.3934+0.0525=(0.3409,\ 0.4459)](https://tex.z-dn.net/?f=0.3934%5Cpm%281.96%29%5Csqrt%7B%5Cdfrac%7B0.3934%281-0.3934%29%7D%7B333%7D%7D%5C%5C%5C%5C%5Capprox0.3934%5Cpm0.0525%5C%5C%5C%5C%3D%280.3934-0.0525%2C%200.3934%2B0.0525%3D%280.3409%2C%5C%200.4459%29%20)
Hence, a 95% confidence interval for the proportion of employees who have a daily commute longer than 30 minutes= (0.3409, 0.4459)
Answer and work down below. Let me know if you have any questions
(going to number these 1-4 starting with the top one)
1. 6:5
2. 1:3
3. 4:3
4. 1:2
Answer:
y+7=5/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=5/4(x-8)
y+7=5/4(x-8)
Answer:
its to blurry
Step-by-step explanation: