Answer:
99.7% confidence interval is ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Step-by-step explanation:
The formula for a confidence interval for a population proportion is 
where 
is the sample proportion, 
is the sample size, and 
is the critical score for the desired confidence level.
We are given a sample size of 
and a sample proportion of 
. Our critical score for a 99.7% confidence level would be 
Therefore, the approximate 99.7% confidence interval for the population parameter is ![CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]](https://tex.z-dn.net/?f=CI%3D%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%3D0.58%5Cpm%202.9677%5Csqrt%7B%5Cfrac%7B0.58%281-0.58%29%7D%7B80%7D%20%7D%3D%5B0.4162%2C0.7438%5D)
So we are 99.7% confident that the true population proportion is contained within the interval
Answer
Moon orbits Earth at a pace of 2,288 miles per hour (3,683 kilometers per hour).
<span>First of all to calculate the distance between two points we can use distance formula
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
The values are X2=3, X1=8and Y2=8and Y1=2.
After Substituting the values
d=Square Root[(-5)^2+(6)^2]
d=Square Root(25+36]
d=Square Root[61]
d=7.8
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
