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Happinessdatasetwk3p625.docxSTATISTICS
Happiness Data Set
Psych/625
Introduction:
One of the most usual applications of Statistics is describing a set of data using regression. Given a set of data, for instance, the data on comparison among attribute of the given set. The dataset consists of 50 individuals where 24 are males and 26 females. Below is the pie chart graph that graphically represent the gender composition. In terms of percentage, the males 48% are whereas the females are 52%. This is an indication that the data sample used was relatively balanced in terms of gender. Atkinson-Bonasio (2017) asserts that in research, fostering diversity achieved by gender equality assures innovation. She further states that bias and gender disparity should be examined so as to ensure a data-informed approach especially to implementing policies and interventions related to gender inequality.
By analyzing and examining the raw data, we can make and draw logical conclusions or even compare, contrast or rank these clothes or establishments based on the specified attribute.
The use of various descriptive statistical measures and hypothesis testing is one of the most effective ways to examine properly these attributes. (Walpole, 1982).
Hypothesis testing:
Assumption:
Null hypothesis H0: The mean value of Workplace Happiness Rating is equal to the mean value Workplace Engagement Rating
Alternative hypothesis Ha: The mean value of Workplace Happiness Rating is not equal to the mean value Workplace Engagement Rating
Significance level 0.05:
t-Test: Two-Sample Assuming Equal Variances
|
|
Happiness |
Engagement |
|
Mean |
7.40 |
7.64 |
|
Variance |
2.00 |
1.54 |
|
Observations |
50.00 |
50.00 |
|
Pooled Variance |
1.77 |
|
|
Hypothesized Mean Difference |
0.00 |
|
|
Df |
98.00 |
|
|
t Stat |
-0.90 |
|
|
P(T<=t) one-tail |
0.18 |
|
|
t Critical one-tail |
1.66 |
|
|
P(T<=t) two-tail |
0.37 |
|
|
t Critical two-tail |
1.98 |
|
From the above t test table we can see that the p value (P(T<=t) two-tail=0.37) is greater than 0.05 so we fail to reject the null hypothesis there is insufficient evidence to found to support the Alternative hypothesis and conclude that The mean value of Workplace Happiness Rating is equal to the mean value Workplace Engagement Rating
References
Jackson, S. L. (2017). Statistics plain and simple. (4th ed.). Boston, MA: Cengage Learning.
Walpole, R. (1982). Introduction to Statistics. (3rd ed.). Prentice Hall Publication.
Downie, N. M. & Heath, R. W. (1965). Basic Statistical Methods (2nd ed.). Harper & Row Publishers.
Gender
Male Female 24 26
