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 422 employees at non-profit organizations revealed that 379 of them were "highly satisfied." From the for-profit companies, 450 out of 534 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. Complete parts a through c below. a) What is the difference in the proportions of the two types of companies? Assume p, is the proportion of satisfied non-profit employees and p, is the proportion of satisfied for-profit employees. The difference in the sample proportions, P, - P2, is ]. (Round to three decimal places as needed.) b) What is the value of the z-statistic? Write the appropriate hypotheses. Let p, be the proportion of satisfied employees from non-profit organizations. Let pz be the proportion of satisfied employees from for-profit companies. Choose the correct answer below. O A. Ho: P1 - P2= 0 O B. Ho: P1 - P2= 0 HA: P1 - P2# 0 HA: P1 - P2= 0 O C. Ho: P1 - P2=0 O D. Ho: P1 - P2# 0 HA: P1 - P2 =0 HA: P1 - P2= 0 Determine the test statistic. z=(Round to two decimal places as needed.) c) What do you conclude at a = 0.1? Find the P-value. P =(Round to three decimal places as needed.) State the conclusion. the null hypothesis. There sufficient evidence to conclude that the proportions of satisfied employees in non-profit organizations and in for-profit companies are different