Answer:
A sample size of 6755 or higher would be appropriate.
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
.
The margin of error M is given by:
![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)
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
52% of Independents in the sample opposed the public option.
This means that ![p = 0.52](https://tex.z-dn.net/?f=p%20%3D%200.52)
If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Sample size of size n or higher when
. So
![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)
![0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}](https://tex.z-dn.net/?f=0.01%20%3D%201.645%5Csqrt%7B%5Cfrac%7B0.52%2A0.48%7D%7Bn%7D%7D)
![0.01\sqrt{n} = 0.8218](https://tex.z-dn.net/?f=0.01%5Csqrt%7Bn%7D%20%3D%200.8218)
![\sqrt{n} = \frac{0.8218}{0.01}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B0.8218%7D%7B0.01%7D)
![\sqrt{n} = 82.18](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%2082.18)
![\sqrt{n}^{2} = (82.18)^{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%5E%7B2%7D%20%3D%20%2882.18%29%5E%7B2%7D)
![n = 6754.2](https://tex.z-dn.net/?f=n%20%3D%206754.2)
A sample size of 6755 or higher would be appropriate.
Answer:
10
Step-by-step explanation:
divide by 4 then you will get your feet
Answer:
The number of students in the school band = 70
40% of students in the school band are sixth graders.
20% of students in the school band are seventh graders.
We have to find the number of band members that are sixth graders.
The number of sixth graders in school band are:
![40\% of 70](https://tex.z-dn.net/?f=40%5C%25%20of%2070)
![0.40 \times 70](https://tex.z-dn.net/?f=0.40%20%5Ctimes%2070)
![28](https://tex.z-dn.net/?f=28)
Therefore, there are 28 band members that are sixth graders.
Multiply the change per hour by the number of hours:
3.5 degrees per hour x 2.5 hours = 8.75
Since the temperature dropped, the change would be a negative value.
The change was -8.75 ( -8 3/4) degrees.
<em>may</em><em> </em><em>i</em><em> </em><em>ask</em><em> </em><em>what</em><em> </em><em>the</em><em> </em><em>multiple</em><em> </em><em>questions</em><em> </em><em>say</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>boxes</em><em>?</em>
<em>-</em><em> </em><em>muffin</em>