Answer to Question #276625 in Statistics and Probability for yara

Question

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 214 chosen numbers.

Chosen Numbers (𝑛=214)

1 to 10 11 to 20. 21 to 30. 31 to 40. 41 to 50

Count. 54. 46. 37. 54. 23

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.

Answer 1

the chir-square has the O-observed frequency and E -expected frequency

a).The test statistics $\chi$=9.2439

b).The critical $\chi$₄ = 7.779