A sergent major orders 34 men to parade tallest on the right, shortest on the left, numbered 1 (tallest) to 34 (shortest). Each man is then asked whether he smokes or drinks alcoholic beverages and the rank numbers of men in the various categories are as follows:
| | | | | | | | | | | |
| :-------------------- | :---- | :---- | :---- | :---- | :---- | :---- | :---- | :---- | :---- | :---- |
| Drinker and Smoker | 1 | 2 | 18 | 23 | 24 | 28 | 29 | 32 | 33 | 34 |
| Smoker, non-drinker | 14 | 16 | 25 | 31 | | | | | | |
| Drinker, non-smoker | 10 | 11 | 12 | 15 | 17 | 19 | 21 | 22 | 26 | 30 |
| Non-smoker, non-drinker | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 13 | 20 | 27 |
What is the Kruskal-Wallis test statistic, H?
Approximate the distribution of H using the Chi squared distribution. What is the approximate p-value?
What is your conclusion after doing the test (using a significance level of 0.05)?