A random group of students was selected from n largo student

A random group of students was selected from n largo student conference to analysis their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at alpha = 0.05?

Solution

Ho: students are equally distributed between the four classes

Ha: students are not equally distributed between the four classes

observed

expected

O - E

(O - E)² / E

10

14.750

-4.750

1.530

12

14.750

-2.750

0.513

13

14.750

-1.750

0.208

24

14.750

9.250

5.801

Total

59

59.

8.051

8.051

chi-square

3

df

.0450

p-value

Calculated chi square =8.051 >7.815 table value

The null hypothesis is rejected

Option A

There is evidence to reject the claim that students are equally distributed between the four classes because the test value 8.051 > 7.815.

	observed	expected	O - E	(O - E)² / E
	10	14.750	-4.750	1.530
	12	14.750	-2.750	0.513
	13	14.750	-1.750	0.208
	24	14.750	9.250	5.801
Total	59	59.		8.051
	8.051	chi-square
	3	df
	.0450	p-value