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# Student`s

Scope Methods in PoliticalScience Problem Sets

Question1

 Run for Office No Maybe Yes Total Republican 6 1 3 10 Party ID Independent 14 8 2 24 Democrat 27 20 10 57 Total 47 29 15 91

Number of agreements

 Cell Number of Agreements Contribution to Na Republican/No 6(8+2+20+10) 240 Republican/Maybe 1(2+10) 20 Republican/Yes 3(0) 0 Independent/No 14(20+10) 420 Independent/Maybe 8(10) 80 Independent/Yes 2(0) 0 Democrat/No 27(0) 0 Democrat/Maybe 20(0) 0 Democrat/Yes 10(0) 0     760

Number of inversions

 Cell Number of Inversions Contribution to Ni Republican/Yes 3(8+14+20+27) 69 Republican/Maybe 1(14+27) 41 Republican/No 6(0) 0 Independent/Yes 2(20+27) 94 Independent/Maybe 8(27) 216 Independent/No 14(0) 0 Democrat/Yes 10(0) 0 Democrat/Maybe 20(0) 0 Democrat/No 27(0) 0     420

Gamma(G)=

Substituting

Gamma(G)===0.29

SinceGamma=0.29 it indicates that there is a moderate positive correlationbetween the two variables which are party ID and Run for office.

Thismeans there is an association between the student partyidentification and if a student plans to run for public office.

Question2

Calculatingthe Expected values

1. For males who said No

* 57=24.78

1. For male who said Maybe

* 20=8.70

1. For males who said Yes

* 15=6.52

1. For females who said No

* 57=32.22

1. For female who said Maybe

* 20=11.30

1. For females who said Yes

* 15=8.48

   Gender   Male Female Total Observed (O) Expected (E) Observed (O) Expected (E)   Ban laptops No 28 24.78 29 32.22 57 Maybe 7 8.70 13 11.30 20 Yes 5 6.52 10 8.48 15 Total 40   52   92

=∑= + + +

1.96

Degreesof freedom

=(3-1) * (2-1) =2

Criticalchi square value=5.991

Thecalculated value of 1.96 is less than the critical value of 5.991 at0.05 significance level. Therefore, the study fails to reject thenull hypothesis and conclude that there is no association betweenGender and Ban laptops variables.1.96,p&gt0.05.

Thismeans that there is an association between the gender of a studentand the student’s attitudes towards professors banning laptopcomputers in class.

Question3

The hypothesis is two tailedand the critical values for the correlation coefficient are 0.088 and0.099 at 0.05 level of significance. The correlation coefficient of0.591 does not fall within the critical values. This indicates thatthe correlation coefficient is significant.

The study can thereforeconclude that the percentage of the congressional district that isAfrican American and the percentage of the district that voted forBill Clinton in the 1996 presidential election have a statisticallysignificant strong positive relationship. This implies that if thepercentage of the congressional district that is African-Americanincreases the percentage of the districts that voted for BillClinton in the 1996 presidential election will also increase.