STATISTICAL ASSIGNMENT

Statistical Assignment

Statistical Assignment

Task 1.1

Ho: There is no difference in mean of males and females.

HA: There is a difference in mean of males and females.

Gender

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Man

3652

44.3

44.3

44.3

Woman

4598

55.7

55.7

100.0

Total

8250

100.0

100.0

From the above table, it can be observed that the mean value of male and females who donated charities are 44 % and 56 % respectively. This indicates that females contributed most of the charities in comparison to men.

One- Sample Test

Test Value = 0

t

df

Sig. (2 - tailed)

Mean Difference

99 % CI of the Difference

Lower

Upper

Gender

101.911

8249

.000

.557

.54

.57

Moreover, the above one sample test indicates that the t value is 101.9 with 8249 degrees of freedom. The level of significance of the test is less than 0.05, showing statistical significance. Thus, it can be said that there is a difference between the males and females in donating charities.

Task 1.2

Age of respondent (Binned)

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

1

650

7.9

7.9

7.9

2

1299

15.7

15.7

23.6

3

1617

19.6

19.6

43.2

4

1313

15.9

15.9

59.1

5

1308

15.9

15.9

75.0

6

1047

12.7

12.7

87.7

7

1016

25.3

12.3

100.0

Total

8250

100.0

100.0

It is observed from the above table that 25% of the respondents are aged 65 +.

Task 1.3

Ho: There is no difference between the mean values of the age group and donor.

HA: There is a difference between the mean values of the age group and donor.

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

Age of respondent (Binned)

4.03

8250

1.819

.020

Donor status

.57

8250

.496

.005

The statistics table is indicating that the mean value of age of respondent is 4.03 with standard deviation of 1.8. Moreover, for the donors, it is found that the mean value is 0.6 with the standard deviation of 0.49.

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

Age of respondent (Binned) & Donor status

8250

- .019

.091

The correlation table is showing that there is no correlation between age of respondent and donors, as significance value is greater than 0.05 that is 0.09.

Paired Samples Test

Paired Differences

t

df

Sig. (2 - tailed)

Mean

Std. Deviation

Std. Error Mean

95 % CI of the Difference

Lower

Upper

Pair 1

Age of respondent (Binned) - Donor status

3.468

1.894

.021

3.427

3.509

166.282

8249

.000

Moreover, the paired samples test is presenting that the t value is 166 with the 8249 degrees of freedom. It is observed that the significance value is under 0.05. For that reason, it can be concluded that alternate hypothesis is accepted; thus, there is a difference between the mean values of the age group and donor.

Task 1.4

Donor status * High income Cross tabulation

Count

High income

Total

Not high income

High income

Donor status

No donor

2942

631

3573

Donor

3617

1060

4677

Total

6559

1691

8250

It is found that the donor with high income is 1060; however, the donor with low income level is 3617. Thus, there are differences in the donation between the high and low income level.

Task 1.5

Hypothesis

Ho: The means of the average amount of money donated between male and female donors are not significantly different.

HA: The means of the average amount of money donated between male and female donors are significantly different.

Group Statistics

Gender

N

Mean

Std. Deviation

Std. Error Mean

Amount donated (£) in last 4 weeks

Woman

4598

14.9943

41.07818

.60580

Man

3652

14.7291

47.92782

.79309

The statistics table is showing that the average amount donated by women is 14.99 with the 41 standard deviation. However, it is found that average amount donated by men is 14.7 with the 47 standard deviation. Thus, it can be interpreted that there is deviation in amount donated by men as compared to women.

Independent Samples Test

Levene's Test for Equality of Variances

t - test for Equality of ...