Question

To improve turnover (employees leaving your organization), you implemented a new training program company-wide about a year ago. However, you're not sure that the training is equally effective in reducing turnover between your service department, sales departments, and warehouse. To test this, you retrieved a list of all current and former employees that have received the training and created a dataset also recording their department. Conduct a test of independence to investigate this.

Turnover: Department:

former warehouse

current service

current sales

former warehouse

current sales

former sales

current sales

current service

former warehouse

current sales

current service

current warehouse

current service

current warehouse

current service

former sales

former sales

former service

The p-value for this chi-square was _____________and the chi-square value was _______________. This test _____________ achieve statistical significance. The expected value for Former Employee/Service was_________________, while the observed value was _______________________

options to fill in the blanks:

0.03, did, 2.33, did not, 0.33, 2.23, 1, 1.98.

Answer 1

From the given data, using Pivot Table,

The expected frequencies are

	Col Labels
Row Labels	sales	service	warehouse	Total
current	4.278	3.667	3.056	11.001
former	2.722	2.333	1.944	6.999
Total	7	6	5	18

The chisquare contribution values are

Oi	Ei	(Oi-Ei)^2 /Ei
4	4.278	0.0181
5	3.667	0.4846
2	3.056	0.3649
3	2.722	0.0284
1	2.333	0.7616
3	1.944	0.5736
	Total:	2.2312

Degrees of freedom: 2

Critical X^2: 5.991471

P-Value: 0.3278

The chi-square value is

Test Statistic, X^2: 2.23

This test did not achieve statistical significance. The expected value for Former Employee/Service was 2.333 , while the observed value was 1