Question
I am trying to learn how to do this type of problem. Your help will be greatly appreciated! Table2.1ThePopulation:Datafor20individuals (Hypothetical Data) ID# Gender Age Sentence
I am trying to learn how to do this type of problem. Your help will be greatly appreciated!
Table2.1ThePopulation:Datafor20individuals (Hypothetical Data) | ||||||
ID# | Gender | Age | Sentence (Months) | Numberof Siblings | Felon | Race/Ethnicity |
1 | Male | 22 | 200 | 4 | Yes | Other |
2 | Female | 25 | 134 | 2 | Yes | AfricanAmerican |
3 | Female | 19 | 136 | 1 | Yes | Asian |
4 | Male | 30 | 197 | 0 | No | AfricanAmerican |
5 | Female | 23 | 124 | 1 | Yes | Latino |
6 | Female | 24 | 113 | 1 | No | White |
7 | Female | 26 | 153 | 6 | Yes | Latino |
8 | Female | 32 | 164 | 3 | Yes | Other |
9 | Female | 26 | 124 | 2 | No | AfricanAmerican |
10 | Female | 21 | 127 | 4 | No | AfricanAmerican |
11 | Female | 28 | 213 | 4 | Yes | Asian |
12 | Male | 24 | 178 | 0 | Yes | White |
13 | Male | 23 | 208 | 1 | No | Other |
14 | Female | 24 | 146 | 2 | Yes | White |
15 | Male | 26 | 226 | 0 | Yes | Asian |
16 | Female | 21 | 128 | 1 | No | Latino |
17 | Female | 19 | 116 | 3 | Yes | White |
18 | Male | 20 | 189 | 3 | Yes | AfricanAmerican |
19 | Male | 24 | 167 | 2 | Yes | White |
20 | Female | 23 | 197 | 0 | Yes | Latino |
- Constructabivariatetableandconductchi-squareanalysistoexaminetofollowing relationships:
- GenderandFelon
- StatetheResearchandNullHypothesisandSelectAlpha.
- (nullorresearch)hypothesis=Thereisnoassociation between the two variables in the population.
- (nullorresearch)hypothesis=Thetwovariablesare related in the population.
- Alpha is set at .
- .06
- .95
- .05
- 100
- StatetheResearchandNullHypothesisandSelectAlpha.
Table2.3FelonbyGender | |||
Felon | Gender | Total | |
Male | Female | ||
Yes | ( %) | ( %) | % |
No | ( %) | ( %) | % |
Total | % | % | % |
(N) |
=
()()
Table2.4ExpectedFrequenciesofFelonandGender | |||
Felon | Gender | Total | |
Male | Female | ||
Yes | % | ||
No | % | ||
Total | 100% | 100% | 100% |
(N) |
Table1.3.ExpectedFrequenciesofFelonandGender | |||||
Felon | Males | Females | Total | ||
Yes | |||||
No | |||||
Total(N) |
2=
()2
Table1.4.CalculatingChi-Square | |||||
Felon | ()2 | ()2 | |||
Males/Felon | |||||
Males/NoFelon | |||||
Females/Felon | |||||
Females/NoFelon | |||||
2 2=()= |
- DeterminingtheDegreesofFreedom.
- =(1)(1)
- MakingaFinalDecision(AppendixB.4p.536) Obtained Chi-Square Statistic =
Since our obtained chi-square of is (greateror less) than our critical chi-square of and (doesor does not) fall into the critical region, we must (rejector fail to reject) the null hypothesis that there is no associationbetweenthetwovariablesinthepopulation(orgenderandcriminalstatusfelon arestatistically independent).
Conclusion:
Our conclusion, therefore, is that gender and criminal status (i.e., felon) are (dependent or independent); that is, there is (arelationshipor norelationship) between them in the population.
Remember:The largerthechi-statistic,thesmallerthepvalueprovidinguswithmoreevidence to reject the null hypothesis.
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