Answer:
The lower interval limit for our 95% confidence interval is of 0.0412.
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
.
We have taken a random sample of 100 observations and observed 10 instances of the characteristic in question.
This means that ![n = 100, \pi = \frac{10}{100} = 0.1](https://tex.z-dn.net/?f=n%20%3D%20100%2C%20%5Cpi%20%3D%20%5Cfrac%7B10%7D%7B100%7D%20%3D%200.1)
95% 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}} = 0.1 - 1.96\sqrt{\frac{0.1*0.9}{100}} = 0.0412](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.1%20-%201.96%5Csqrt%7B%5Cfrac%7B0.1%2A0.9%7D%7B100%7D%7D%20%3D%200.0412)
The lower interval limit for our 95% confidence interval is of 0.0412.
76 / 4 = 19 lbs for 1 bushel
19 x 8.5 = 161.5 lbs for 8.5 bushels
8.5 bushels of rye weigh 161.5 lbs
Answer:
by cutting it = 35/40
here 35 is cuted by 5 in 7 times and 40 by 5 in 8 times
So answer is 7/8.
It is C) 1/25
Hope this helps
Answer:
-3.2
Step-by-step explanation: