A lottery is conducted which involves the random selection of numbers from 0 through 4. To make sure that the lottery is fair, a random sample of [n=250] selections was taken. The following results were obtained:

Value ----- Frequency

0 ----- 40

1 ----- 45

2 ----- 55

3 ----- 60

4 ----- 50

------------

250

What is your conclusion about the fairness of the lottery at the 5% level of significance?

a.Test statistic = 7.81 / critical value = 3.84, so reject the null hypothesis

b.Test statistic = 5.00/ critical value = 9.49, so do notreject the null hypothesis

c.Test statistic = 4.94 / critical value = 3.84, so reject the null hypothesis

d.Test statistic = 5.00 / critical value = 7.81, so do notreject the null hypothesis

e. None of the above answers is correct.