# How do I rewrite the confidence interval (0.0268, 0.133) in the form of #hatp - E < p < hatp + E#?

##### 1 Answer

#### Explanation:

If I understand correctly, we simply need to take the confidence bounds

#hatp=(0.0268+0.133)/2=0.1598/2=0.0799#

The error margin

#E=abs(hatp-0.0268)# or#E=abs(hatp-0.133)#

#color(white)E=abs(0.0799-0.0268)=abs(0.0799-0.133)#

#color(white)E=abs(0.0531)color(white)(XXXXiii)=abs(-0.0531)#

#color(white)E=0.0531#

So in

#0.0799-0.0531< p < 0.0799+0.0531#

or

#p in (0.0799+-0.0531).#

I hope this is the answer you're looking for!