Separate random samples were collected by a polling agency to investigate the difference in employee satisfaction at​ non-profit organizations and at​ for-profit companies. Data collected from 413 employees at​ non-profit organizations revealed that 371 of them were​ "highly satisfied." From the​ for-profit companies, 426 out of 510 employees reported the same level of satisfaction. Researchers want to test if the proportions of satisfied employees are the same at​ for-profit companies as at​ non-profit companies.  Find the Standard Error of the difference in the sample proportions. Determine the z statistic. Find the P-value.

MATLAB: An Introduction with Applications
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Separate random samples were collected by a polling agency to investigate the difference in employee satisfaction at​ non-profit organizations and at​ for-profit companies. Data collected from 413 employees at​ non-profit organizations revealed that 371 of them were​ "highly satisfied." From the​ for-profit companies, 426 out of 510 employees reported the same level of satisfaction. Researchers want to test if the proportions of satisfied employees are the same at​ for-profit companies as at​ non-profit companies. 

  1. Find the Standard Error of the difference in the sample proportions.
  2. Determine the z statistic.
  3. Find the P-value.
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