Test the hypothesis that the die is fair that is that pi 1

Question

 To ascertain whether a certain die was fair, 1,000 rolls of the die were recorded, with the following results.

Outcome	Number of Occurrences
1	158
2	172
3	164
4	181
5	160
6	165

6

Test the hypothesis that the die is fair (that is, that pi = 1 , i = 1, ... , 6) at the 5 percent level of significance. Use the chi-square approximation.