Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
n = 1200
x = 32% of 1200
So, ![\hat{p}=32\5=0.32](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D32%5C5%3D0.32)
We need to find 95% confidence interval.
so, z = 1.96
So, margin of error would be
![z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=](https://tex.z-dn.net/?f=z%5Ctimes%20%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D1.96%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B0.32%5Ctimes%200.68%7D%7B1200%7D%7D%5C%5C%5C%5C%3D1.96%5Ctimes%200.0135%3D)
So, Interval would be
![\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20%5Ctext%7Bmargin%20of%20error%7D%7D%5C%5C%5C%5C%3D0.32%5Cpm%200.0263%5C%5C%5C%5C%3D%280.32-0.0263%2C0.32%2B0.0263%29%5C%5C%5C%5C%3D%280.2937%2C0.3463%29%5C%5C%5C%5C%3D%280.294%2C0.346%29%5C%5C%5C%5C%3D%2829.4%5C%25%2C34.6%5C%25%29)
Hence, Option 'c' is correct.
Answer:
Step-by-step explanation:
Given the data :
ABC = 5.9%
CBS = 7.6%
FOX = 5.5%
NBC = 6.0%
Warner Brothers = 2%
UPN = 2.2%
Other Cable network = 70.8%
From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.
Answer:
x + 5 + 3x -1 + 4x -2 = 66
8x = 64
x = 8
8 + 5 = 13
24 -1 = 23
32 -2 = 30
The shortest side is x + 5 = 13
Step-by-step explanation:
<span>The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7
Therefore,
</span>4x -8 = <span>x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12
</span>