Question: 1. The students of a statistics class (n = 30) all play different videogames of the MOBA (Multiplayer Online Battle Arena) genre: 5 students play

1.The students of a statistics class (n = 30) all play different videogames of the MOBA (Multiplayer Online Battle Arena) genre: 5 students play League of Legends, 10 students play Defense of the Ancients and 15 students play Heroes of the Storm. Do these data represent evidence for a MOBA preference in this particular statistics class?

a) What is the expected number of players for each game under the null hypothesis of no preference?

b) Write the formula of the Chi-squared (c²) statistic and calculate it.

c) How many degrees of freedom has the null Chi-squared distribution?

d) What is the Chi-squared statistic associated with the null hypothesis at a significance level of a=0.05?

e) Do we accept or reject the null hypothesis of no preference?

f) Repeat the Chi-squared test but assuming that the class has 300 students (50 play LoL, 100 play DOTA and 150 play HoTS).

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