F
(
n
)
=
87 That’s Standard form
Answer:
Step-by-step explanation:
240000
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
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 z-score that has a p-value of
.
The margin of error is of:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that ![n = 2161, \pi = \frac{1214}{2161} = 0.5618](https://tex.z-dn.net/?f=n%20%3D%202161%2C%20%5Cpi%20%3D%20%5Cfrac%7B1214%7D%7B2161%7D%20%3D%200.5618)
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
Margin of error:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}](https://tex.z-dn.net/?f=M%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5618%2A0.4382%7D%7B2161%7D%7D)
![M = 0.0209](https://tex.z-dn.net/?f=M%20%3D%200.0209)
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
2 pounds
Step-by-step explanation:
pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2