Question

A five-sided die is rolled 100 times. Conduct a hypothesis test to determine if the die is fair. Use a 5% level of significance.
Observed Rolls: One=10; Two=29; Three=16, Four=15, Five=30
Expected Rolls: All the categories of rolls are the same

Answer 1

Solution:

The null and alternative hypotheses are:

H0: All the categories of rolls are the same

Ha: All the categories of rolls are not the same

Under the null hypothesis the test statistic is: