Goodness of fit test : A student was given a die but he had no idea whether or not it was
a fair die. He threw the die 480 times and each outcome was recorded. The results are
given in the following table.
xi 1 2 3 4 5 6
Oi 80 105 95 64 79 57
Test, at the 5% level of significance, whether or not this die is fair. You must state the null
and alternative hypotheses in words or in formulae, the test statistic and its distribution under
H0, the decision rule and your conclusion.
Goodness-of-fit Test and Hypothesis Testing are investigated.