115年
第 5 題15 分
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The mobile game AngryRabbit team examines users' premium treasure purchase behavior related to cumulative effective playtime. Premium treasures offer certain advantages in the game and are valuable to users. Moreover, users are classified as new, intermediate, or experienced based on their cumulative effective playtime. The following data shows the number of users by premium status and experience level. (15%)
| Level: New | Level: Intermediate | Level: Experienced | Total | |
|---|---|---|---|---|
| Treasure purchased | 45 | 50 | 65 | 160 |
| Treasure not purchased | 5 | 20 | 15 | 40 |
| Total | 50 | 70 | 80 | 200 |
Use a 5% level of significance and test whether the probability of premium treasure purchasing is independent of the user's cumulative effective playtime. (χ²₀.₀₅,₂ = 5.99, χ²₀.₀₂₅,₂ = 7.38, χ²₀.₀₅,₆ = 12.59, χ²₀.₀₂₅,₆ = 14.45)
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