Imagine We Were Interested in the Effect of Supporters Singing

Imagine we were interested in the effect of supporters singing on the number of goals scored by soccer teams. We took 10 groups of supporters of 10 different soccer teams and asked them to attend three home games, one at which they were instructed to sing in support of their team (e.g., 'Come on, you Reds!') , one at which they were instructed to sing negative songs towards the opposition (e.g., 'You're getting sacked in the morning!') and one at which they were instructed to sit quietly. The order of chanting was counterbalanced across groups.
-Which of the following sentences regarding the output from Mauchly's test of sphericity below is correct?

A) Mauchly's test indicated that the assumption of sphericity had been violated, ?2 (2) = .73, p = .29.
B) Mauchly's test indicated that the assumption of sphericity had been met, ?2 (2) = 2.50, p < .05.
C) Mauchly's test indicated that the assumption of sphericity had not been met, ?2 (2) = 2.50, p > .05.
D) Mauchly's test indicated that the assumption of sphericity had been met, ?2 (2) = 2.50, p = .29.

Correct Answer:

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