In: Math

# To improve turnover (employees leaving your organization), you implemented a new training program company-wide about a...

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.

## Solutions

##### Expert Solution

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

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