So I have this equation and the answer 196 sqrt02368 97632

So I have this equation and the answer.

1.96 * sqrt(.02368 * .97632 / 50000) = 0.0013327786. However, I get a different answer. I multiply .2368 with .97632 to get.2311925. I divide this by 50000. I get .0000046. The square root of this is .0021447. Unfortunately, when i multiply this by 1.96, I get .0042036 and not .0013327786.

How am I calculating this wrong?

Solution

.02368 * .97632 / 50000 = 0.00000046 (with 6 zeros, not 5)

sqrt(0.00000046) = 0.000678233 and not .0021447

1.96*0.000678233 = 0.00133