Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
= 0.01

∴
(z-critical value)
Sample size = 


= 144.37
= 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.
The answer is the first one, A
Ur close but it is 0.023 you were off just a bit
Use the KCF method, or keep, change, flip.
1 ) Set up your expression: 48 / 5/8
2 ) Change the division symbol into multiplication : 48 x 5/8
3 ) Flip 5/8 : 48 x 8/5
4 ) Solve! If it helps,write 48 as 48/1. Just multiply as you would.
Answer: 384/5, or 76 4/5