1. Left vs Work Accident

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$Work_accident 
##      hr$left |         0 |         1 | Row Total | 
## -------------|-----------|-----------|-----------|
##            0 |      9428 |      2000 |     11428 | 
##              |    12.346 |    73.029 |           | 
##              |     0.825 |     0.175 |     0.762 | 
##              |     0.735 |     0.922 |           | 
##              |     0.629 |     0.133 |           | 
## -------------|-----------|-----------|-----------|
##            1 |      3402 |       169 |      3571 | 
##              |    39.510 |   233.709 |           | 
##              |     0.953 |     0.047 |     0.238 | 
##              |     0.265 |     0.078 |           | 
##              |     0.227 |     0.011 |           | 
## -------------|-----------|-----------|-----------|
## Column Total |     12830 |      2169 |     14999 | 
##              |     0.855 |     0.145 |           | 
## -------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  358.5938     d.f. =  1     p =  5.698673e-80 
## 
## Pearson's Chi-squared test with Yates' continuity correction 
## ------------------------------------------------------------
## Chi^2 =  357.5624     d.f. =  1     p =  9.55824e-80 
## 
## 

b. Technical Interpretation

There is an association between leaving and work accidents, employees with work accidents are less likely to leave.

c. Non-Technical Interpretation

Employees without a work accident are more that 3 times more likely to leave (0.265 / 0.078)

d. Graph

2. Left vs Salary

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$salary 
##      hr$left |      high |       low |    medium | Row Total | 
## -------------|-----------|-----------|-----------|-----------|
##            0 |      1155 |      5144 |      5129 |     11428 | 
##              |    47.915 |    33.200 |     9.648 |           | 
##              |     0.101 |     0.450 |     0.449 |     0.762 | 
##              |     0.934 |     0.703 |     0.796 |           | 
##              |     0.077 |     0.343 |     0.342 |           | 
## -------------|-----------|-----------|-----------|-----------|
##            1 |        82 |      2172 |      1317 |      3571 | 
##              |   153.339 |   106.247 |    30.876 |           | 
##              |     0.023 |     0.608 |     0.369 |     0.238 | 
##              |     0.066 |     0.297 |     0.204 |           | 
##              |     0.005 |     0.145 |     0.088 |           | 
## -------------|-----------|-----------|-----------|-----------|
## Column Total |      1237 |      7316 |      6446 |     14999 | 
##              |     0.082 |     0.488 |     0.430 |           | 
## -------------|-----------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  381.225     d.f. =  2     p =  1.652087e-83 
## 
## 
## 

b. Technical Interpretation

P-value < 0.01, we reject the Ho and conclude that there is an association between salary level and leaving the company where employess with high salaries are less likely to leave the company.

c. Non-Technical Interpretation

Employees with a low salary are more than 4 times more likely to leave (0.297/0.066)

d. Graph

3. Left vs Department

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$Department 
##      hr$left |  accounting |          hr |          IT |  management |   marketing | product_mng |       RandD |       sales |     support |   technical |   Row Total | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
##            0 |         563 |         524 |         954 |         539 |         655 |         704 |         666 |        3126 |        1674 |        2023 |       11428 | 
##              |       0.783 |       2.709 |       0.391 |       7.250 |       0.002 |       0.408 |       7.346 |       0.255 |       0.348 |       1.178 |             | 
##              |       0.049 |       0.046 |       0.083 |       0.047 |       0.057 |       0.062 |       0.058 |       0.274 |       0.146 |       0.177 |       0.762 | 
##              |       0.734 |       0.709 |       0.778 |       0.856 |       0.763 |       0.780 |       0.846 |       0.755 |       0.751 |       0.744 |             | 
##              |       0.038 |       0.035 |       0.064 |       0.036 |       0.044 |       0.047 |       0.044 |       0.208 |       0.112 |       0.135 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
##            1 |         204 |         215 |         273 |          91 |         203 |         198 |         121 |        1014 |         555 |         697 |        3571 | 
##              |       2.506 |       8.670 |       1.252 |      23.202 |       0.008 |       1.307 |      23.510 |       0.815 |       1.114 |       3.771 |             | 
##              |       0.057 |       0.060 |       0.076 |       0.025 |       0.057 |       0.055 |       0.034 |       0.284 |       0.155 |       0.195 |       0.238 | 
##              |       0.266 |       0.291 |       0.222 |       0.144 |       0.237 |       0.220 |       0.154 |       0.245 |       0.249 |       0.256 |             | 
##              |       0.014 |       0.014 |       0.018 |       0.006 |       0.014 |       0.013 |       0.008 |       0.068 |       0.037 |       0.046 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
## Column Total |         767 |         739 |        1227 |         630 |         858 |         902 |         787 |        4140 |        2229 |        2720 |       14999 | 
##              |       0.051 |       0.049 |       0.082 |       0.042 |       0.057 |       0.060 |       0.052 |       0.276 |       0.149 |       0.181 |             | 
## -------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|-------------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  86.82547     d.f. =  9     p =  7.04213e-15 
## 
## 
## 

b. Technical Interpretation

P-value < 0.01, we reject the Ho, there is an association between whether an employee left and their department. Employees in management are slightly less likely to leave the company.

c. Non-Technical Interpretation

Employees in HR are over 2 times more likely to leave employees than in Management (0.291/0.144).

d. Graph

4. Left vs Promotion in Last 5 Years

a. Chi-Square Test

## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  14999 
## 
##  
##              | hr$promotion_last_5years 
##      hr$left |         0 |         1 | Row Total | 
## -------------|-----------|-----------|-----------|
##            0 |     11128 |       300 |     11428 | 
##              |     0.290 |    13.343 |           | 
##              |     0.974 |     0.026 |     0.762 | 
##              |     0.758 |     0.940 |           | 
##              |     0.742 |     0.020 |           | 
## -------------|-----------|-----------|-----------|
##            1 |      3552 |        19 |      3571 | 
##              |     0.928 |    42.702 |           | 
##              |     0.995 |     0.005 |     0.238 | 
##              |     0.242 |     0.060 |           | 
##              |     0.237 |     0.001 |           | 
## -------------|-----------|-----------|-----------|
## Column Total |     14680 |       319 |     14999 | 
##              |     0.979 |     0.021 |           | 
## -------------|-----------|-----------|-----------|
## 
##  
## Statistics for All Table Factors
## 
## 
## Pearson's Chi-squared test 
## ------------------------------------------------------------
## Chi^2 =  57.26273     d.f. =  1     p =  3.813123e-14 
## 
## Pearson's Chi-squared test with Yates' continuity correction 
## ------------------------------------------------------------
## Chi^2 =  56.26163     d.f. =  1     p =  6.344155e-14 
## 
## 

b. Technical Interpretation

P-value < 0.01, we reject the Ho, there is an association between leaving the company and receiving a promotion. Employees who receive a promotion are less likely to leave the company.

c. Non-Technical Interpretation

Employees without a promotion in the last 5 years are over 4 times more likely to leave the company (0.242/0.060).

d. Graph