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!