The Large Sample Confidence Interval Formula For Estimating P Should Only Be Used When. The large sample confidence interval formula for estimating pi should only be used when np-hat greaterthanorequalto 10 or n1-p-hat greaterthanorequalto 10 n1-p-hat greaterthanorequalto 15 n greaterthanorequalto 30 np-hat greaterthanorequalto 10 and n1-p-hat greaterthanorequalto 10. 005 for statistical significance then your confidence level would be 1 005 095 or 95.
If the sample size is small and underlying populations are normal you can use this formula to compute the confidence interval of the difference between two means. 005 for statistical significance then your confidence level would be 1 005 095 or 95. So thankfully when n is large 25 we have.
A Compute the z critical value for 95 confidence level.
The margin of error portion of a confidence interval formula can also be used to estimate the sample size that needed. In that case we substitute the known quantity p for p in making the check. X 2 σ n x. This is used only when the sample size is large n30.