Posted by Sarah on .
An educator wants to estimate the proportion of school children in Boston who are living with only one parent. Since their report is to be published, they want a reasonably accurate estimate. However, since their funding is limited, they do not want to collect a larger sample than necessary. They hope to use a sample size such that, with probability 0.95, the error will not exceed 0.04. What sample size will ensure this, regardless of what sample proportion value occurs when they gather the sample?

Statistics 
MathGuru,
Try this formula:
n = [(zvalue)^2 * p * q]/E^2
Note: n = sample size needed; .5 for p and .5 for q are used if no value is stated in the problem. E = maximum error, which is .04 in the problem. Zvalue is found using a ztable (for 95%, the value is 1.96). 
Statistics 
MathGuru,
When you find n, round up to the next highest whole number.