In the Super-Mega lottery there are 50 numbers (1 to 50), a player chooses ten different numbers and hopes that these get drawn. If the player's numbers get drawn, he/she wins an obscene amount of money. The table below displays the frequency with which classes of numbers are chosen (not drawn). These numbers came from a sample of 207 chosen numbers.

Chosen Numbers (
1 to 1011 to 2021 to 3031 to 4041 to 50
Count4026485439

Test the claim that chosen numbers are not evenly distributed across the five classes. Test this claim at the 0.10 significance level.

(a) Find the test statistic.

(b) Find the critical value.

(c) Is there sufficient data to support the claim?

You can earn partial credit on this problem.