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 424 employees at non-profit organizations revealed that 373 of them were highly satisfied." From the for-profit companies, 433 out of 524 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 p, be the proportion of satisfied employees from for-profit companies. Choose the correct answer below. OA H P,-P2=0 O B. H P-P2#0 Ha P, -P2=0 HA P-P2#0 OC. H P,-P2>0 H P,-P2=0 OD. He P,-P2= 0 Ha: P - P2>0 Determine the test statistic. z= (Round to two decimal places as needed.) c) What do you conclude at a= 0.05? Find the P-value. P= (Round to three decimal places as needed.) State the conclusion.

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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 424 employees at non-profit organizations revealed
that 373 of them were "highly satisfied." From the for-profit companies, 433 out of 524 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
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 p, be the proportion of satisfied employees from for-profit companies. Choose the correct answer below.
OA Hgi P-P2 = 0
O B. Hg: P,- P2#0
Ha: P, - P2 =0
OD. Ho: P, - P2 =0
Ha: P, - P2>0
HA P-P2#0
OC. Ho: P-P2>O
Ha Pi-P2 =0
Determine the test statistic.
z= (Round to two decimal places as needed.)
c) What do you conclude at a= 0.05?
Find the P-value.
P= (Round to three decimal places as needed.)
State the conclusion.
Transcribed Image Text: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 424 employees at non-profit organizations revealed that 373 of them were "highly satisfied." From the for-profit companies, 433 out of 524 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 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 p, be the proportion of satisfied employees from for-profit companies. Choose the correct answer below. OA Hgi P-P2 = 0 O B. Hg: P,- P2#0 Ha: P, - P2 =0 OD. Ho: P, - P2 =0 Ha: P, - P2>0 HA P-P2#0 OC. Ho: P-P2>O Ha Pi-P2 =0 Determine the test statistic. z= (Round to two decimal places as needed.) c) What do you conclude at a= 0.05? Find the P-value. P= (Round to three decimal places as needed.) State the conclusion.
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