STATISTICS PROJECT 6
QUESTION1

There are 2 groups being compared.

The sample size is 301.

The null hypothesis is to be rejected because the pvalue (0.004) is less than 0.05

The results are statistically significant.

The PostHoc tests were used because the pvalue is less than 0.05.it is run to know where the statistical difference arises.
QUESTION2
a)Nullhypothesis: there were no significant differences between regions intolerance of abortion for 2010 GSS middleage adults.
Researchhypothesis: there were significant differences between regions intolerance of abortion for 2010 GSS middleage adult.
Descriptive 

Abortion Should Be Possible Index (asked about 6 situations) 

N 
Mean 
Std. Deviation 
Std. Error 
95% Confidence Interval for Mean 
Minimum 
Maximum 

Lower Bound 
Upper Bound 

Northeast 
153 
4.47 
2.007 
.162 
4.15 
4.79 
0 
6 

Midwest 
238 
3.62 
2.044 
.132 
3.36 
3.88 
0 
6 

South 
327 
3.83 
2.051 
.113 
3.61 
4.06 
0 
6 

West 
167 
4.49 
1.866 
.144 
4.20 
4.77 
0 
6 

Total 
885 
4.01 
2.037 
.068 
3.87 
4.14 
0 
6 
ANOVA 

Abortion Should Be Possible Index (asked about 6 situations) 

Sum of Squares 
df 
Mean Square 
F 
Sig. 

Between Groups 
116.809 
3 
38.936 
9.660 
.000 
Within Groups 
3551.119 
881 
4.031 

Total 
3667.928 
884 
Thesignificance value is less than 0.05.This indicates that there is asignificant difference between the group means. We reject the nullhypothesis, and so we proceed to carry out the PostHoc sTests inorder to know where the difference arises.
PostHoc Tests Dependent Variable:Abortion Should Be Possible Index (asked about 6 situations) 

(I) Region of Current Residence 
(J) Region of Current Residence 
Mean Difference (IJ) 
Std. Error 
Sig. 

Tukey HSD 
Northeast 
Midwest 
.853^{*} 
.208 
.000 

South 
.636^{*} 
.197 
.007 

West 
.014 
.225 
1.000 

Midwest 
Northeast 
.853^{*} 
.208 
.000 

South 
.217 
.171 
.582 

West 
.867^{*} 
.203 
.000 

South 
Northeast 
.636^{*} 
.197 
.007 

Midwest 
.217 
.171 
.582 

West 
.650^{*} 
.191 
.004 

West 
Northeast 
.014 
.225 
1.000 

Midwest 
.867^{*} 
.203 
.000 

South 
.650^{*} 
.191 
.004 

Dunnett t (2sided)^{b} 
Northeast 
West 
.014 
.225 
1.000 

Midwest 
West 
.867^{*} 
.203 
.000 

South 
West 
.650^{*} 
.191 
.002 

*. The mean difference is significant at the 0.05 level. 

b. Dunnett ttests treat one group as a control, and compare all other groups against it. 
QUESTION3

paired sample ttest

chisquare

oneway ANOVA

independent sample ttest

paired sample ttest

one sample ttest

chisquare

independent sample ttest

paired sample ttest

chisquare
QUESTION4
Nullhypothesis: There is no significant relationship between region ofthe country and race of the 2010 GSS.
Researchhypothesis: There is a significant relationship between region ofthe country and race of the 2010 GSS.
Case Processing Summary 

Cases 

Valid 
Missing 
Total 

N 
Percent 
N 
Percent 
N 
Percent 

Race of Respondent * REGION = 3 (FILTER) 
475 
100.0% 
0 
0.0% 
475 
100.0% 
ChiSquare Tests 

Value 
df 
Asymp. Sig. (2sided) 

Pearson ChiSquare 
87.648^{a} 
6 
.000 
Likelihood Ratio 
83.609 
6 
.000 
LinearbyLinear Association 
7.883 
1 
.005 
N of Valid Cases 
1258 

a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 11.57. 
Thevalue of chisquare is 87.648 and the degrees of freedom are 6. Thesignificance level is 0.000. The probability of a chisquare istherefore 0.000. Therefore we reject the null hypothesis withindependence. The result is statistically significant.
References
Anderson,D. R., Burnham, K. P., & Thompson, W. L. (2000). Null hypothesistesting: problems, prevalence, and an alternative. Thejournal of wildlife management,912923.
Gardner,M. J., & Altman, D. G. (1986). Confidence intervals rather than Pvalues: estimation rather than hypothesis testing. BMJ, 292(6522),746750.
Davies,R. B. (1987). Hypothesis testing when a nuisance parameter is presentonly under the alternative. Biometrika, 74(1),3343.