Posted by **Bob** on Wednesday, July 31, 2013 at 2:57am.

A die is rolled 600 times. The face with six spots appears 112 times. Is the die biased towards that face, or is this just chance variation?

The null hypothesis is:

he null hypothesis is

The die is biased towards the face with six spots.

The chance that the face with six spots appears is greater than 1/6, and the face appeared 112 times in the sample just by chance.

The chance that the face with six spots appears is equal to 1/6, and the face appeared 112 times in the sample just by chance.

The die is biased towards the faces that donâ€™t show six spots. The chance that the face with six spots appears is equal to 112/600.

The proportion of times the of the face with six spots appears is equal to 112/600

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