Examine the relationship between these variables 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: Case Processing SummaryCasesValidMissingTotalNPercentNPercent9 0.3%Percent2867 100.0%Marital status General2858 99.7%happinessMarital status * General happiness CrosstabulationCountGeneral happinessPRETTYNOT TOOНАРPYVERY HAPPYНАРPYTotalMarital status MARRIED465657861208WIDOWED5912666251DIVORCED100281114495SEPARATED264629101NEVER MARRIED156490157803Total80616004522858Chi-Square TestsAsymptoticSignificance(2-sided)ValuedfPearson Chi-Square197.610*8.000Likelihood Ratio204.592„000Linear-by-LinearAssociation118.2981.000Nof Valid Cases2858a. O cells (0.0%) have expected count less than 5. Theminimum expected count is 15.97.Directional MeasuresAsymptoticStandardEnorAppromateApproimateValueSignficanceNominal by Nominal LambdaSymmetic0240054571000Martal status Dependent0430094571000General happinessDependent000Oosaman and KruskaltauMartal status Dependent030004Oeneral happinessDependent027004a Not assuming the nuhypothesisUsing the asymgtotc standard enor assuming the null hypathesisE Cannot be computed because the asymptotc standand emor equals 2ero.4. Based on chi-square approximationSymmetric MeasuresApproimateAsymptotieStandardEmorAppromateSignitcance00ValueNominal by Nominal Phi263Cramer's v186000Ordinal by OrdinalGamma29402312472000Nof Valid Cases2058a Not assuming the nu ypothesisUsing he asymptetc standard enor assuming the null hypothesis

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Examine the relationship between these variables 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:

Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
9 0.3%
Percent
2867 100.0%
Marital status General
2858 99.7%
happiness
Marital status * General happiness Crosstabulation
Count
General happiness
PRETTY
NOT TOO
НАРPY
VERY HAPPY
НАРPY
Total
Marital status MARRIED
465
657
86
1208
WIDOWED
59
126
66
251
DIVORCED
100
281
114
495
SEPARATED
26
46
29
101
NEVER MARRIED
156
490
157
803
Total
806
1600
452
2858
Chi-Square Tests
Asymptotic
Significance
(2-sided)
Value
df
Pearson Chi-Square
197.610*
8
.000
Likelihood Ratio
204.592
„000
Linear-by-Linear
Association
118.298
1
.000
Nof Valid Cases
2858
a. O cells (0.0%) have expected count less than 5. The
minimum expected count is 15.97.
Directional Measures
Asymptotic
Standard
Enor
Appromate
Approimate
Value
Signficance
Nominal by Nominal Lambda
Symmetic
024
005
4571
000
Martal status Dependent
043
009
4571
000
General happiness
Dependent
000
Oosaman and Kruskal
tau
Martal status Dependent
030
004
Oeneral happiness
Dependent
027
004
a Not assuming the nuhypothesis
Using the asymgtotc standard enor assuming the null hypathesis
E Cannot be computed because the asymptotc standand emor equals 2ero.
4. Based on chi-square approximation
Symmetric Measures
Approimate
Asymptotie
Standard
Emor
Appromate
Signitcance
00
Value
Nominal by Nominal Phi
263
Cramer's v
186
000
Ordinal by Ordinal
Gamma
294
023
12472
000
Nof Valid Cases
2058
a Not assuming the nu ypothesis
Using he asymptetc standard enor assuming the null hypothesis

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