Do people who work for nonprofit organizations differ from t

Do people who work for non-profit organizations differ from those who work at for-profit companies when it comes to personal job satisfaction? Separate random samples were collected by a polling agency to investigate the difference. Data collected from 422 employees at non-profit organizations revealed that 377 of them were \"highly satisfied.\" From the for-profit companies, 431 out 518 employees reported the same level of satisfaction. Find the standard error of the difference in sample proportions.

Solution

first sample proportion is p1=377/422

second sample proportion is p2=431/518

standard error of p1-p2 is

sqrt(p1(1-p1)/422+p2(1-p2)/518)=0.000495522 [answer]