A lottery is conducted that involves the random selection of numbers from 0 to 4. To make sure that the lottery is fair, a sample of 250 was taken. The following results were obtained:
Value Frequency
0 40
1 45
2 55
3 60
4 50
a. State the null and alternative hypotheses to be tested.
b. Compute the test statistic.
c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value from the table.
d. What do you conclude about the fairness of this lottery?