Suppose we are interested in determining whether there is a relationship between
ID: 3149417 • Letter: S
Question
Suppose we are interested in determining whether there is a relationship between sex and whether a person feels safe going out into their neighborhood at night.
Using the cross-tabulation table and the chi-square test below, what do you conclude about the null hypothesis that these two variables are independent or not related?
HOW SAFE FEEL OUT ALONE AT NIGHT IN YOUR NEIGHBORHOOD * SEX Crosstabulation
SEX
Total
FEMALE
MALE
HOW SAFE FEEL OUT ALONE AT NIGHT IN YOUR NEIGHBORHOOD
VERY SAFE
Count
442
623
1065
% within SEX
37.9%
58.8%
47.8%
SOMEWHAT SAFE
Count
528
354
882
% within SEX
45.3%
33.4%
39.6%
NOT VERY SAFE
Count
108
57
165
% within SEX
9.3%
5.4%
7.4%
NOT AT ALL SAFE
Count
88
26
114
% within SEX
7.5%
2.5%
5.1%
Total
Count
1166
1060
2226
% within SEX
100.0%
100.0%
100.0%
Chi-Square Tests
Value
df
Asymp. Sig. (2-sided)
Pearson Chi-Square
109.772a
3
.000
Likelihood Ratio
112.056
3
.000
Linear-by-Linear Association
101.689
1
.000
N of Valid Cases
2226
a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 54.29.
HOW SAFE FEEL OUT ALONE AT NIGHT IN YOUR NEIGHBORHOOD * SEX Crosstabulation
SEX
Total
FEMALE
MALE
HOW SAFE FEEL OUT ALONE AT NIGHT IN YOUR NEIGHBORHOOD
VERY SAFE
Count
442
623
1065
% within SEX
37.9%
58.8%
47.8%
SOMEWHAT SAFE
Count
528
354
882
% within SEX
45.3%
33.4%
39.6%
NOT VERY SAFE
Count
108
57
165
% within SEX
9.3%
5.4%
7.4%
NOT AT ALL SAFE
Count
88
26
114
% within SEX
7.5%
2.5%
5.1%
Total
Count
1166
1060
2226
% within SEX
100.0%
100.0%
100.0%
Explanation / Answer
Preceding cross tabulation table indicates there is association among the variables, as with change in gender (female to male), the idea of feeling safe alone at night in neighbourhood changes with male feeling 'Very safe' with 58.8%. Now compute maximum difference for each row.
Very safe: (58.8-37.9)%=20.9%, Somewhat safe: 11.9%, Not very safe: 5.4%, Not at all safe: 5%. All percentages of maximum difference is within 30, this indicates a moderate strength of relationship among the variables.
The p value corresponding to Chi-square test statistic is too low, therefore, variables are associated.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.