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 don’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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