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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?

Question

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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