I am going through the book Sampling Techniques by Cochran. I'm requesting for assistance with the following question:
A simple random sample of 30 households was drawn from a city area containing 14,848 households. The numbers of persons per household in the sample were as follows.
Estimate the total number of people in the area and compute the probability that this estimate is within ±10% of the true value.
I found the estimate of the population total to be 51,473 with a standard error of 3,315.4869. I'm having trouble interpreting the second part of the question ("compute the probability that this estimate is within ±10% of the true value") as a mathematical expression.