Answer:
depends on how much pizza he has.
Step-by-step explanation:
.
Answer:
p = q
Step-by-step explanation:
Angles in a triangle add up to 180°
For the left triangle:
180 = p + 20 + 80
p = 80
For the right triangle:
180 = q + 45 + 55
q = 80
Therefore, p = q
Answer:
The lower bound for a 90% confidence interval is 0.2033.
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 = 40361, \pi = \frac{8337}{40361} = 0.2066](https://tex.z-dn.net/?f=n%20%3D%2040361%2C%20%5Cpi%20%3D%20%5Cfrac%7B8337%7D%7B40361%7D%20%3D%200.2066)
90% 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}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.2066%20-%201.645%5Csqrt%7B%5Cfrac%7B0.2066%2A0.7934%7D%7B40361%7D%7D%20%3D%200.2033)
The lower bound for a 90% confidence interval is 0.2033.
You would have to evaluate the problem so it would be 940