Do people who work for? non-profit organizations differ from those who work at? for-profit companies when it comes to job? satisfaction? Separate random samples were collected by a polling agency to investigate the difference. Data collected from 424 employees at? non-profit organizations revealed that 374 of them were "somewhat?satisfied." From the? for-profit companies, 441 out of 522 employees reported the same level of satisfaction. Find the standard error of the difference in sample proportions.
Let p^1 be the sample proportion of "somewhat satisfied" employees at? non-profit organizations and p^2 be the sample proportion of "somewhat satisfied" employees from? for-profit companies.
The standard error of the difference in the two sample proportions is ____ (Round to four decimal places as needed.)