<s>[INST] The problem I'm working on is for a game called "Kingdom Hearts". In the game, there is an item called a "Navi-Gauge". The Navi-Gauge is filled by defeating enemies, and when it's full, Sora obtains a new random skill. The problem is, it seems that the game has a bias towards giving certain skills over others.

To analyze this bias, I've collected data on the skills obtained through the Navi-Gauge, along with the number of times each skill was obtained. Here's the data:

| Skill | Frequency |
| --- | --- |
| Sonic Blade | 7 |
| Magnet | 0 |
| Healing | 2 |
| Scan | 1 |
| Item Master | 1 |
| Dodge Roll | 0 |
| Air Combo Plus | 0 |
| Jackpot | 1 |
| Second Chance | 0 |
| Draw | 0 |
| Luminous | 0 |
| Guard | 5 |
| High Jump | 1 |
| Leaf Bracer | 0 |
| Berserk | 0 |

I want to determine if the observed frequencies of the skills are significantly different from what would be expected if the game were truly random. A chi-squared test for goodness of fit seems like the appropriate statistical test for this problem.

I'm having trouble setting up the null and alternative hypotheses for the test.

Could you please help me formulate these hypotheses?[/INST]