vesigate difference in employee satisfaction at non-profit organizations and at for-profit companies. Data collected from 420 employees at non-profit organizations revealed that 378 of them were "highly satisfied." From the for-profit companies, 417 out of 493 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. 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,-Pa=0 HA: P-P2>0 OC. H P,-P2>0 HA P-P2=0 O B. H P,- P2=0 Ha P-P2#0 OD. H P,-P2*0 Determine the test statistic. 2= (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. V the null hypothesis. There V sufficient evidence to conclude that the proportions of satisfied employees in non-profit organizations and in for-profit companies are different.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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lected by a polling agency to investigate the difference in employee satisfaction at non-profit organizations and at for-profit companies. Data collected from 420 employees at non-profit organizations revealed
that 378 of them were "highly satisfied." From the for-profit companies, 417 out of 493 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.
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.
O A. H: P,-P2 = 0
O B. He P- P2 =0
OC. H: P,-P2>0
Ha P,-P2 =0
OD. Hoi P, - Pz#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.
the null hypothesis. There
V sufficient evidence to conclude that the proportions of satisfied employees in non-profit organizations and in for-profit companies are different.
Transcribed Image Text:lected by a polling agency to investigate the difference in employee satisfaction at non-profit organizations and at for-profit companies. Data collected from 420 employees at non-profit organizations revealed that 378 of them were "highly satisfied." From the for-profit companies, 417 out of 493 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. 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. O A. H: P,-P2 = 0 O B. He P- P2 =0 OC. H: P,-P2>0 Ha P,-P2 =0 OD. Hoi P, - Pz#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. the null hypothesis. There V sufficient evidence to conclude that the proportions of satisfied employees in non-profit organizations and in for-profit companies are different.
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