You are investigating the relationship between the ages of adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the contingency table. At a = 0.01, is there enough evidence to conclude that age is related to which aspect of career development is considered to be most important? Perform the chi-square independence test by completing parts (a) through (e) below. Age 18-26 years 27-41 years 42-62 years Learning new skills 29 Career development aspect Pay increases 22 28 30 18 16 Career path 20 34 9 (a) Identify the claim and state Ho and H₂- Ho: The aspect of career development that is considered to be most important is independent of age. H₂: The aspect of career development that is considered to be most important is dependent on age. Which hypothesis is the claim? Alternative hypothesis Null hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. = 4 Find the critical value. x=13.277 (Round to three decimal places as needed.) Which region below is the correct rejection region? OA 721 OB. So OC.< D. > (c) Calculate the test statistic. If convenient, use technology. x=(Round to three decimal places as needed.)
You are investigating the relationship between the ages of adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the contingency table. At a = 0.01, is there enough evidence to conclude that age is related to which aspect of career development is considered to be most important? Perform the chi-square independence test by completing parts (a) through (e) below. Age 18-26 years 27-41 years 42-62 years Learning new skills 29 Career development aspect Pay increases 22 28 30 18 16 Career path 20 34 9 (a) Identify the claim and state Ho and H₂- Ho: The aspect of career development that is considered to be most important is independent of age. H₂: The aspect of career development that is considered to be most important is dependent on age. Which hypothesis is the claim? Alternative hypothesis Null hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. = 4 Find the critical value. x=13.277 (Round to three decimal places as needed.) Which region below is the correct rejection region? OA 721 OB. So OC.< D. > (c) Calculate the test statistic. If convenient, use technology. x=(Round to three decimal places as needed.)
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Transcribed Image Text:You are investigating the relationship between the ages of adults and what aspect of career development they consider to be the most
important. You randomly collect the data shown in the contingency table. At a = 0.01, is there enough evidence to conclude that age is related
to which aspect of career development is considered to be most important? Perform the chi-square independence test by completing parts (a)
through (e) below.
Age
18-26 years
27-41 years
42-62 years
Learning new skills
29
Career development aspect
Pay increases
22
28
30
18
16
Career path
20
34
9
(a) Identify the claim and state Ho and H₂-
Ho: The aspect of career development that is considered to be most important is independent of age.
H₂: The aspect of career development that is considered to be most important is dependent on age.
Which hypothesis is the claim?
Alternative hypothesis
Null hypothesis
(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.
Calculate the degrees of freedom.
d.f. = 4
Find the critical value.
x=13.277 (Round to three decimal places as needed.)
Which region below is the correct rejection region?
OA 721
OB. So
OC.<
D. >
(c) Calculate the test statistic. If convenient, use technology.
x=(Round to three decimal places as needed.)
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