COURSEWORK

Coursework



Coursework

TASK 1



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

99% Confidence Interval of the Difference

Lower

Upper

Donor status

Equal variances assumed

186.405

.000

-9.23

8248

.000

-.101

.011

-.129

-.073

The resulting confidence interval is (-0.129, -0.073). The results of the test 99% confidence interval sample proportions suggest that there is a significant difference between the men and women donors because of significant t - value i.e. p < 0.05. Also the f - statistic is highly significant showing the significance of the test applied in this statistics.

The above results have been found out through the 'Analyze' section where we went to Compare means and hit the Independent samples button and define groups as men and women. The output was found in the output dialog box (Lyman & Longnecker, 2010, p.463).



24 or less years

753

25-34

1364

35-44

1590

45-54

1295

55-64

1296

65+

1952

The proportion of the respondents are aged 65+ is 1952/8250*100 = 23.66%. This summarizing of data was done in SPSS through the 'frequencies' button where we define the ranges of the people according to the given instructions and the result was altered like above. H0: There is no significant difference in the ages of the respondents with their donation ability.

H1: There is a significant difference in the ages of the respondents with their donation ability.

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

99% Confidence Interval of the Difference

Lower

Upper

Age of respondent

Equal variances assumed

62.531

.000

2.086

8248

.037

.860

.412

-.202

1.922

The result of the t - values shows that they are significant because the p - value is less than 0.05 and also the f - value is highly significant showing the significance of using the particular test statistics. We can reject the null hypothesis and can claim that there is a significant difference in the ages of the respondents with their donation ability (Bowerman, Connell & Orris, 2003, pp.362-376).

The above results have been found out through the 'Analyze' section where we went to Compare means and hit the Independent samples button and define groups as men and women. The output was found in the output dialog box.

95% confidence interval for high income = Mean 1.96 (SD) = 48.75 1.96*17.72 = (14.01, 83.48)

95% confidence interval for not high income = Mean 1.96 (SD) = 49.60 1.96*19.6 = (11.18, 88.01)

From the above results, it can be said that the confidence interval for high income group is low as compared to low income group. This shows that income of low income people varies more than high income group.

H0: There is no significant difference in the amount of monely donated between male and female donars.

H1: There is a significant difference in the amount of monely donated between male and female donars.

The given test relates to difference in the amount of money donated between male and female donars. The results of the analysis shows that the t- value is not significant that is p > 0.05. Keeping this in view, it can be said that the two variances are not significantly different, which indictes towards the seconds assumption that is equal variances not ...