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 433 employees at non-profit organizations revealed that 391 of them were "highly satisfied." From the for-profit companies, 426 out of 507 employees reported the s level of satisfaction. Researchers want to test if the proportions of satisfied employees are the same at for-profit compani- as at non-profit companies. Complete parts a through c below. P1 a) What is the difference in the proportions of the two types of companies? Assume p₁ is the proportion of satisfied non-p employees and p2 is the proportion of satisfied for-profit employees. The difference in the sample proportions, P₁-P2, is (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 433 employees at non-profit organizations
revealed that 391 of them were "highly satisfied." From the for-profit companies, 426 out of 507 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 p₁ is the proportion of satisfied non-profit
employees and p2 is the proportion of satisfied for-profit employees.
P2
The difference in the sample proportions, p₁ - P2, is
(Round to three decimal places as needed.)
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 433 employees at non-profit organizations revealed that 391 of them were "highly satisfied." From the for-profit companies, 426 out of 507 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 p₁ is the proportion of satisfied non-profit employees and p2 is the proportion of satisfied for-profit employees. P2 The difference in the sample proportions, p₁ - P2, is (Round to three decimal places as needed.)
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