Produce a CROSSTAB for the variables CLASS and RECYCLE. Before conducting your analysis, first reverse code SATJOB so that 1 = Very Dissatisfied; 2=Moderately Dissatisfied; 3=Moderately Satisfied; and 4=Very satisfied. Set all other values (8, 9) to system missing. Then examine the relationship between social class and job satisfaction by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05.State the null and research hypotheses:H0:H1:What is the obtained chi-square value?What is the significance level (p-value) for the obtained chi-square?Should we reject or fail to reject the null hypothesis?Is there a statistically significant relationship between these variables?Which measure of association would be most appropriate for these variables?What is the value of the measure of association?Interpret your findings by explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages: Job Satisfaction * Subjective class identification CrosstabulationSubjective class identificationWORKINGLOWER CLASSCLASSMIDDLE CLASSUPPER CLASSTotalJob SatisfactionVery DissatisfiedCount143319167% within Subjective class9.8%3.6%2.9%2.3%3.8%identificationModerately DissatisfiedCount2892442166% within Subjective class19.6%10.0%6.6%4.5%9.4%identificationModerately SatisfiedCount50335250644% within Subjective class35.0%36.5%37.5%20.5%36.4%identificationVery SatisfiedCount5145835332894% within Subjective class35.7%49.9%53.0%72.7%50.5%identificationTotalCount143918666441771% within Subjective class100.0%100.0%100.0%100.0%100.0%identificationChi-Square TestsAsymptoticSignificance (2-Valuedfsided)Pearson Chi-Square53.185.000Likelihood Ratio46.986.000Linear-by-Linear Association32.7031.000N of Valid Cases1771a. 2 cells (12.5%) have expected count less than 5. The minimumexpected count is 1.66. Directional MeasuresAsymptoticApproximateValueStandard ErgorApproximate TSignificanceNominal by NominalLambdaSymmetric.000.000Job Satisfaction Dependent.000.000Subjective class identification.000.000DependentGoodman and Kruskal tauJob Satisfaction Dependent.009003.000Subjective class identification.006.002.000°Dependenta. Not assuming the null hypothesis.b. Cannot be computed because the asymptotic standard error equals zero.c. Based on chi-square approximationSymmetric MeasuresAsymptoticApproximateValueStandard Error, Approximate TSignificanceNominal by NominalPhi.173.000Cramer's V100.000Ordinal by OrdinalGamma.175.0364.729.000N of Valid Cases1771a. Not assuming the null hypothesis.b. Using the asymptotic standard error assuming the null hypothesis.

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Answered: Produce a CROSSTAB for the variables…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Produce a CROSSTAB for the variables CLASS and RECYCLE. Before conducting your analysis, first reverse code SATJOB so that 1 = Very Dissatisfied; 2=Moderately Dissatisfied; 3=Moderately Satisfied; and 4=Very satisfied. Set all other values (8, 9) to system missing. Then examine the relationship between social class and job satisfaction by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05.

State the null and research hypotheses:

H₀:

H₁:

What is the obtained chi-square value?

What is the significance level (p-value) for the obtained chi-square?

Should we reject or fail to reject the null hypothesis?

Is there a statistically significant relationship between these variables?

Which measure of association would be most appropriate for these variables?

What is the value of the measure of association?

Interpret your findings by explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages:

Job Satisfaction * Subjective class identification Crosstabulation
Subjective class identification
WORKING
LOWER CLASS
CLASS
MIDDLE CLASS
UPPER CLASS
Total
Job Satisfaction
Very Dissatisfied
Count
14
33
19
1
67
% within Subjective class
9.8%
3.6%
2.9%
2.3%
3.8%
identification
Moderately Dissatisfied
Count
28
92
44
2
166
% within Subjective class
19.6%
10.0%
6.6%
4.5%
9.4%
identification
Moderately Satisfied
Count
50
335
250
644
% within Subjective class
35.0%
36.5%
37.5%
20.5%
36.4%
identification
Very Satisfied
Count
51
458
353
32
894
% within Subjective class
35.7%
49.9%
53.0%
72.7%
50.5%
identification
Total
Count
143
918
666
44
1771
% within Subjective class
100.0%
100.0%
100.0%
100.0%
100.0%
identification
Chi-Square Tests
Asymptotic
Significance (2-
Value
df
sided)
Pearson Chi-Square
53.185
.000
Likelihood Ratio
46.986
.000
Linear-by-Linear Association
32.703
1
.000
N of Valid Cases
1771
a. 2 cells (12.5%) have expected count less than 5. The minimum
expected count is 1.66.

Directional Measures
Asymptotic
Approximate
Value
Standard Ergor
Approximate T
Significance
Nominal by Nominal
Lambda
Symmetric
.000
.000
Job Satisfaction Dependent
.000
.000
Subjective class identification
.000
.000
Dependent
Goodman and Kruskal tau
Job Satisfaction Dependent
.009
003
.000
Subjective class identification
.006
.002
.000°
Dependent
a. Not assuming the null hypothesis.
b. Cannot be computed because the asymptotic standard error equals zero.
c. Based on chi-square approximation
Symmetric Measures
Asymptotic
Approximate
Value
Standard Error, Approximate T
Significance
Nominal by Nominal
Phi
.173
.000
Cramer's V
100
.000
Ordinal by Ordinal
Gamma
.175
.036
4.729
.000
N of Valid Cases
1771
a. Not assuming the null hypothesis.
b. Using the asymptotic standard error assuming the null hypothesis.

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