The first variable considered here is State. The variable indicates in which state the individual resides in. For the variables how many years of education and age, mean is the most appropriate measure of central tendency. This measure gives the average number of years of education and the average age of the individuals. The variable State is a categorical variable. Thus, no measure of descriptive statistics can be appropriate in measuring this variable.
Most people have studied for 10 years, 12 years and 15 years. Most of the people are from New South Wales and most of the people fall in the age group of 51-60 years. These data can be clearly visible from the histograms given below. The variables in this part are all discrete variables. The grouping of ages is also taken in such a way that it is a discrete variable. Thus, the data can be represented most appropriately by a bar graph. Bar graph is the most appropriate chart to represent discrete data.
Statistics |
||||
R: How many years of education have you completed? |
State |
R: Age (10yr categories) |
||
N |
Valid |
2705 |
2775 |
2737 |
Missing |
76 |
6 |
44 |
|
Mean |
13.57 |
2.58 |
3.52 |
|
Median |
14.00 |
2.00 |
4.00 |
|
Mode |
12 |
1 |
4 |
|
Std. Deviation |
3.640 |
1.597 |
1.632 |
|
Variance |
13.246 |
2.551 |
2.663 |
|
Skewness |
.330 |
1.011 |
.131 |
|
Std. Error of Skewness |
.047 |
.046 |
.047 |
|
Kurtosis |
1.389 |
.441 |
-.819 |
|
Std. Error of Kurtosis |
.094 |
.093 |
.094 |
|
Range |
40 |
7 |
6 |
|
Minimum |
0 |
1 |
1 |
|
Maximum |
40 |
8 |
7 |
|
Percentiles |
25 |
11.00 |
1.00 |
2.00 |
50 |
14.00 |
2.00 |
4.00 |
|
75 |
16.00 |
3.00 |
5.00 |
R: How many years of education have you completed? |
|||||
Frequency |
Percent |
Valid Percent |
Cumulative Percent |
||
Valid |
0 |
2 |
.1 |
.1 |
.1 |
2 |
6 |
.2 |
.2 |
.3 |
|
3 |
4 |
.1 |
.1 |
.4 |
|
4 |
2 |
.1 |
.1 |
.5 |
|
5 |
10 |
.4 |
.4 |
.9 |
|
6 |
23 |
.8 |
.9 |
1.7 |
|
7 |
36 |
1.3 |
1.3 |
3.1 |
|
8 |
88 |
3.2 |
3.3 |
6.3 |
|
9 |
117 |
4.2 |
4.3 |
10.6 |
|
10 |
309 |
11.1 |
11.4 |
22.1 |
|
11 |
208 |
7.5 |
7.7 |
29.8 |
|
12 |
322 |
11.6 |
11.9 |
41.7 |
|
13 |
210 |
7.6 |
7.8 |
49.4 |
|
14 |
263 |
9.5 |
9.7 |
59.1 |
|
15 |
304 |
10.9 |
11.2 |
70.4 |
|
16 |
257 |
9.2 |
9.5 |
79.9 |
|
17 |
194 |
7.0 |
7.2 |
87.1 |
|
18 |
141 |
5.1 |
5.2 |
92.3 |
|
19 |
63 |
2.3 |
2.3 |
94.6 |
|
20 |
76 |
2.7 |
2.8 |
97.4 |
|
21 |
20 |
.7 |
.7 |
98.2 |
|
22 |
23 |
.8 |
.9 |
99.0 |
|
23 |
11 |
.4 |
.4 |
99.4 |
|
24 |
2 |
.1 |
.1 |
99.5 |
|
25 |
5 |
.2 |
.2 |
99.7 |
|
26 |
3 |
.1 |
.1 |
99.8 |
|
27 |
1 |
.0 |
.0 |
99.8 |
|
28 |
3 |
.1 |
.1 |
99.9 |
|
30 |
1 |
.0 |
.0 |
100.0 |
|
40 |
1 |
.0 |
.0 |
100.0 |
|
Total |
2705 |
97.3 |
100.0 |
||
Missing |
Missing |
76 |
2.7 |
||
Total |
2781 |
100.0 |
State |
|||||
Frequency |
Percent |
Valid Percent |
Cumulative Percent |
||
Valid |
New South Wales |
898 |
32.3 |
32.4 |
32.4 |
Victoria |
687 |
24.7 |
24.8 |
57.1 |
|
Queensland |
538 |
19.3 |
19.4 |
76.5 |
|
South Australia |
235 |
8.5 |
8.5 |
85.0 |
|
Western Australia |
267 |
9.6 |
9.6 |
94.6 |
|
Tasmania |
81 |
2.9 |
2.9 |
97.5 |
|
ACT |
51 |
1.8 |
1.8 |
99.4 |
|
Northern Territory |
18 |
.6 |
.6 |
100.0 |
|
Total |
2775 |
99.8 |
100.0 |
||
Missing |
Missing |
6 |
.2 |
||
Total |
2781 |
100.0 |
R: Age (10yr categories) |
|||||
Frequency |
Percent |
Valid Percent |
Cumulative Percent |
||
Valid |
18-30 |
376 |
13.5 |
13.7 |
13.7 |
31-40 |
419 |
15.1 |
15.3 |
29.0 |
|
41-50 |
568 |
20.4 |
20.8 |
49.8 |
|
51-60 |
589 |
21.2 |
21.5 |
71.3 |
|
61-70 |
428 |
15.4 |
15.6 |
87.0 |
|
71-80 |
272 |
9.8 |
9.9 |
96.9 |
|
Over 80 |
85 |
3.1 |
3.1 |
100.0 |
|
Total |
2737 |
98.4 |
100.0 |
||
Missing |
Missing |
44 |
1.6 |
||
Total |
2781 |
100.0 |
In this part the variables were recoded to a new variable by eliminating the missing values, the unknown values and the responses not known. Including these responses will give vague results of the analysis as these responses have no effect with the analysis. Thus, the values coded to them will give wrong interpretation.
In this part, it can be seen that the p-values of the Chi-Square statistics for education in predicting attitude towards government’s performance in controlling crime are less than 0.05 (The level of significance). Thus, it can be said that there is no association between the variables for which the cross tabulation has been conducted.
B8d Recoded * M5 Recoded Crosstabulation |
|||||||
Count |
|||||||
M5 Recoded |
Total |
||||||
1.00 |
2.00 |
3.00 |
4.00 |
5.00 |
|||
B8d Recoded |
1.00 |
14 |
7 |
11 |
9 |
2 |
43 |
2.00 |
233 |
114 |
219 |
140 |
105 |
811 |
|
3.00 |
310 |
166 |
294 |
141 |
86 |
997 |
|
4.00 |
188 |
106 |
165 |
60 |
45 |
564 |
|
5.00 |
53 |
39 |
50 |
19 |
20 |
181 |
|
Total |
798 |
432 |
739 |
369 |
258 |
2596 |
Chi-Square Tests |
|||
Value |
df |
Asymp. Sig. (2-sided) |
|
Pearson Chi-Square |
37.461a |
16 |
.002 |
Likelihood Ratio |
37.388 |
16 |
.002 |
Linear-by-Linear Association |
11.927 |
1 |
.001 |
N of Valid Cases |
2596 |
||
a. 1 cells (4.0%) have expected count less than 5. The minimum expected count is 4.27. |
L2 Recoded * M7 Recoded Crosstabulation |
||||||||||
Count |
||||||||||
M7 Recoded |
Total |
|||||||||
1.00 |
2.00 |
3.00 |
4.00 |
5.00 |
6.00 |
7.00 |
8.00 |
|||
L2 Recoded |
1.00 |
7 |
4 |
4 |
3 |
5 |
3 |
2 |
3 |
31 |
2.00 |
11 |
19 |
3 |
4 |
4 |
3 |
0 |
1 |
45 |
|
3.00 |
75 |
109 |
23 |
21 |
35 |
21 |
7 |
6 |
297 |
|
4.00 |
114 |
159 |
67 |
45 |
102 |
46 |
16 |
33 |
582 |
|
5.00 |
80 |
97 |
82 |
46 |
98 |
41 |
26 |
41 |
511 |
|
6.00 |
58 |
91 |
93 |
63 |
108 |
50 |
32 |
54 |
549 |
|
7.00 |
10 |
17 |
34 |
24 |
34 |
18 |
14 |
37 |
188 |
|
8.00 |
3 |
4 |
11 |
13 |
10 |
8 |
8 |
10 |
67 |
|
9.00 |
0 |
2 |
5 |
7 |
4 |
0 |
0 |
5 |
23 |
|
10.00 |
1 |
1 |
3 |
0 |
3 |
1 |
1 |
4 |
14 |
|
Total |
359 |
503 |
325 |
226 |
403 |
191 |
106 |
194 |
2307 |
Chi-Square Tests |
|||
Value |
df |
Asymp. Sig. (2-sided) |
|
Pearson Chi-Square |
293.463a |
63 |
.000 |
Likelihood Ratio |
300.098 |
63 |
.000 |
Linear-by-Linear Association |
151.438 |
1 |
.000 |
N of Valid Cases |
2307 |
||
a. 26 cells (32.5%) have expected count less than 5. The minimum expected count is .64. |
In this part, it can be seen that the p-values of the Chi-Square statistics for occupation in predicting identification of social position are less than 0.05 (The level of significance). Thus, it can be said that there is no association between the variables for which the cross tabulation has been conducted.
B23 Recoded * M15 Recoded Crosstabulation |
||||
Count |
||||
M15 Recoded |
Total |
|||
1.00 |
2.00 |
|||
B23 Recoded |
1.00 |
196 |
91 |
287 |
2.00 |
450 |
157 |
607 |
|
3.00 |
542 |
148 |
690 |
|
4.00 |
512 |
122 |
634 |
|
5.00 |
340 |
58 |
398 |
|
Total |
2040 |
576 |
2616 |
Chi-Square Tests |
|||
Value |
df |
Asymp. Sig. (2-sided) |
|
Pearson Chi-Square |
36.746a |
4 |
.000 |
Likelihood Ratio |
36.596 |
4 |
.000 |
Linear-by-Linear Association |
35.722 |
1 |
.000 |
N of Valid Cases |
2616 |
||
a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 63.19. |
In this part, it can be seen that the p-values of the Chi-Square statistics for birth place in predicting size of social contact are less than 0.05 (The level of significance). Thus, it can be said that there is no association between the variables for which the cross tabulation has been conducted.
To test whether there is any difference between the incomes of males and females, independent sample t-test has been done in SPSS. From the results, it can be seen that the p-value or the Sig (2-tailed) value is 0.000, which is less than the level of significance (0.05). Thus, there is significant difference between the individual annual incomes of males and females in the society. Moreover, it is clear from the Group statistics table that the income of males is comparatively higher than that of females. Thus, there is a socio economic difference in the income of the individuals with respect to gender.
Group Statistics |
|||||
R: Gender |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
Individual income – gross annual (4 categories) |
Female |
1311 |
2.06 |
.932 |
.026 |
Male |
1220 |
2.65 |
1.006 |
.029 |
Independent Samples Test for Individual Income with respect to gender. |
||||||||||
Levene’s Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
Individual income – gross annual (4 categories) |
Equal variances assumed |
23.842 |
.000 |
-15.320 |
2529 |
.000 |
-.590 |
.039 |
-.666 |
-.515 |
Equal variances not assumed |
-15.278 |
2474.476 |
.000 |
-.590 |
.039 |
-.666 |
-.515 |
To test whether there is any difference in the highest degree of education perused by a male and a female, again, independent sample t-test has been conducted. According to the results of the t-test, it can be seen that the p-value is 0.342, which is greater than the level of significance. Thus, there is no significant difference in the highest degree of education perused by a male and a female.
Independent Samples Test |
||||||||||
Levene’s Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
R: Highest level of education completed since leaving school |
Equal variances assumed |
10.744 |
.001 |
.950 |
2696 |
.342 |
.048 |
.051 |
-.052 |
.149 |
Equal variances not assumed |
.953 |
2690.430 |
.341 |
.048 |
.051 |
-.051 |
.148 |
Thus, it can be said the Australian society still considers women downtrodden and do not consider them fit for work. This is why the women earn less than the men even though they have almost the same level of qualification.
The variables that have been considered to affect the socio economic status of the people are highest level of education and individual income. From the cross tabulation table of Individual income and gender, it can be clearly seen that more women earn the lesser annual income than men. Men are more likely to earn the higher annual incomes. Thus, men are given much more priority in the in the country than the women.
Individual income – gross annual (4 categories) * R: Gender Crosstabulation |
||||
Count |
||||
R: Gender |
Total |
|||
Female |
Male |
|||
Individual income – gross annual (4 categories) |
$0 to $15,599 per annum |
446 |
216 |
662 |
$15,600 to $36,399 per annum |
433 |
261 |
694 |
|
$36,400 to $77,999 per annum |
344 |
481 |
825 |
|
$78,000 and over per annum |
88 |
262 |
350 |
|
Total |
1311 |
1220 |
2531 |
Again, from the cross tabulation table for the highest level of education, it can be seen that women are advance than men in most of the cases. Only in trade or apprenticeship, more men have studied than women. Thus, any trade related studies are perused more by men than women. Women just get high education. They do not get the proper education that is necessary work. Thus, this explains their low annual income than men. Thus, these indicate that men are more prioritized than women in the socio economic status.
R: Highest level of education (5 categories) * R: Gender Crosstabulation |
||||
Count |
||||
R: Gender |
Total |
|||
Female |
Male |
|||
R: Highest level of education (5 categories) |
Less than Year 12 |
351 |
219 |
570 |
Year 12 |
164 |
128 |
292 |
|
Trade/Apprenticeship |
88 |
359 |
447 |
|
Certificate/Diploma |
481 |
284 |
765 |
|
Bachelor degree and above |
349 |
302 |
651 |
|
Total |
1433 |
1292 |
2725 |
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