Final answer:
Testing if the best ski area is independent of the skier's level requires a statistical test of independence, such as a chi-square test, by surveying skiers of different levels and their ski area preferences.
Step-by-step explanation:
The question of whether the best ski area is independent of the level of the skier involves conducting a statistical test, specifically a test of independence, which is often done using a chi-square test. This would require collecting data from skiers of various levels and their preferences for different ski resorts to determine if there's a statistical relationship between the variables.
For example, if beginner, intermediate, and expert skiers are surveyed and their preferences for various ski areas are recorded, a chi-square test can reveal whether ski area preference is significantly associated with the skier's level. If the p-value is less than the chosen alpha level (commonly 0.05), one would reject the null hypothesis that ski area preference is independent of the skier's level, suggesting a significant association between skiing level and preferred ski areas.
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