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 415 employees at non-profit organizations revealed that 373 of them were "somewhat satisfied." From the for-profit companies, 420 out of 497 employees reported the same level of satisfaction. Find the standard error of the difference in sample proportions.
Let p with caret 1 be the sample proportion of "somewhat satisfied" employees at non-profit organizations and e p with caret 2 be the sample proportion of "somewhat satisfied" employees from for-profit companies.
What is the standard error of the difference in the two sample proportions is?
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