Answer:
The point estimate for the proportion is p = 0.4725
The 95% confidence interval for the proportion of non-fatal accidents that involved the use of a cell phone is (0.4236, 0.5214).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 400](https://tex.z-dn.net/?f=n%20%3D%20400)
Point estimate
![\pi = p = \frac{189}{400} = 0.4725](https://tex.z-dn.net/?f=%5Cpi%20%3D%20p%20%3D%20%5Cfrac%7B189%7D%7B400%7D%20%3D%200.4725)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4725 - 1.96\sqrt{\frac{0.4725*0.5275}{400}} = 0.4236](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.4725%20-%201.96%5Csqrt%7B%5Cfrac%7B0.4725%2A0.5275%7D%7B400%7D%7D%20%3D%200.4236)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4725 + 1.96\sqrt{\frac{0.4725*0.5275}{400}} = 0.5214](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.4725%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.4725%2A0.5275%7D%7B400%7D%7D%20%3D%200.5214)
The 95% confidence interval for the proportion of non-fatal accidents that involved the use of a cell phone is (0.4236, 0.5214).
188 is your answer XD 4x47=188
Answer:
Slope = Rise over Run
Rise = 2
Run = 3
Slope = 2/3
Let me know if this helps!
Answer:
29 19/37
Step-by-step explanation:
Here we have multiplication and division Thus, the computation can be done from left to right (commutative property of multiplication and division).
(14*78)/37 = 1092/37 = 29.51 (approximately) or 29 19/37
Answer:
y-25 = 2(x-10)
Step-by-step explanation:
First find the slope using the points (10,25) and (20,45)
m = ( y2-y1)/(x2-x1)
m = (45 - 25)/(20-10)
= 20/10
= 2
Then using point slope form of a line
y-y1 = m(x-x1)
y-25 = 2(x-10)