Answer:
Step-by-step explanation:
Always capitalize the names of the seasons
1 plus 1 is 2
1 plus 1 divided by 17 is 0.1176
2 sides are 6 x 5, 6 x 5 = 30, 30 x 2 = 60
2 sides are 4 x 5, 4 x 5 = 20, 20 x 2 = 40
2 sides are 6 x 4, 6 x 4 = 24, 24 x 2 = 48
total = 60 +40 + 48 = 148 square inches
Answer:
99% Confidence interval: (0.0375,0.2099)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 97
Number of left handed, x = 12
![\hat{p} = \dfrac{x}{n} = \dfrac{12}{97} = 0.1237](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D%20%3D%20%5Cdfrac%7B12%7D%7B97%7D%20%3D%200.1237)
99% Confidence interval:
![\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7Bstat%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![z_{critical}\text{ at}~\alpha_{0.01} = 2.58](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.01%7D%20%3D%202.58)
Putting the values, we get:
![0.1237\pm 2.58(\sqrt{\dfrac{0.1237(1-0.1237)}{97}}) = 0.1237\pm 0.0862\\\\=(0.0375,0.2099)](https://tex.z-dn.net/?f=0.1237%5Cpm%202.58%28%5Csqrt%7B%5Cdfrac%7B0.1237%281-0.1237%29%7D%7B97%7D%7D%29%20%3D%200.1237%5Cpm%200.0862%5C%5C%5C%5C%3D%280.0375%2C0.2099%29)
The required confidence interval is (0.0375,0.2099).