Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, 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 = 1000, \pi = 0.60](https://tex.z-dn.net/?f=n%20%3D%201000%2C%20%5Cpi%20%3D%200.60)
90% confidence interval
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}} = 0.60 - 1.645\sqrt{\frac{0.60*0.40}{1000}} = 0.575](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.60%20-%201.645%5Csqrt%7B%5Cfrac%7B0.60%2A0.40%7D%7B1000%7D%7D%20%3D%200.575)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 + 1.645\sqrt{\frac{0.60*0.40}{1000}} {119}} = 0.625](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.60%20%2B%201.645%5Csqrt%7B%5Cfrac%7B0.60%2A0.40%7D%7B1000%7D%7D%20%7B119%7D%7D%20%3D%200.625)
The 90% confidence interval is 0.575 to 0.625.
Answer:
you answer a lot of questions
Slope-Intercept form is in the format of <em>y=mx+b</em>, where m is the slope and b is the y-intercept. Therefore, we can rewrite the given equation dollarsas Cost=8p+10.
We can eliminate B and D because they mention that 10 is the slope, when the true slope is 8.
A.) is the correct answer because each pass is equal to 8 dollars (dollars is an assumed unit, it could be anything though).
:)