X is cross multiple and u have to divide
Answer:
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
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
.
A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.
This means that ![n = 250, \pi = \frac{14}{250} = 0.056](https://tex.z-dn.net/?f=n%20%3D%20250%2C%20%5Cpi%20%3D%20%5Cfrac%7B14%7D%7B250%7D%20%3D%200.056)
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.056%20-%201.96%5Csqrt%7B%5Cfrac%7B0.056%2A0.944%7D%7B250%7D%7D%20%3D%200.0275)
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
Answer:
isn't it 36cm^2
Step-by-step explanation:
sqaure is even so i think you do 6×6
Answer: Length of his shadow is 18 feet.
Step-by-step explanation:
Since we have given that
Length of tall monument = 64 foot
Length of shadow = 16 feet
Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches
So, we need to find the length of its shadow.
So, according to question, we get that
![\dfrac{64\times 12}{16\times 12}=\dfrac{72}{x}\\\\4=\dfrac{72}{x}\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18\ feet](https://tex.z-dn.net/?f=%5Cdfrac%7B64%5Ctimes%2012%7D%7B16%5Ctimes%2012%7D%3D%5Cdfrac%7B72%7D%7Bx%7D%5C%5C%5C%5C4%3D%5Cdfrac%7B72%7D%7Bx%7D%5C%5C%5C%5C4x%3D72%5C%5C%5C%5Cx%3D%5Cdfrac%7B72%7D%7B4%7D%5C%5C%5C%5Cx%3D18%5C%20feet)
Hence, length of his shadow is 18 feet.