Question

A researcher wants to study if binge-watching TV depends upon the the season. He randomly samples a group of 60 people (35 in the winter, 25 in the spring, subjects are independent between the seasons). Of the Winter subjects, 25 Binge watch TV (10 don't). Of the Spring subjects, 8 Binge watch TV (17 don't). What is the observed Chi-Square statistic?

A. 3.58

B. 6.77

C. 9.16

D. 11.91

E. 8.04

Answer 1

Applying chi square test of independence:

Observed		watch	not watch	Total
	winter	25	10	35
	spring	8	17	25
	total	33	27	60
Expected	Ei=row total*column total/grand total	watch	not watch	Total
	winter	19.2500	15.7500	35
	spring	13.7500	11.2500	25
	total	33.00	27.00	60.00
chi square    χ2	=(Oi-Ei)2/Ei	watch	not watch	Total
	winter	1.718	2.099	3.8167
	spring	2.405	2.9389	5.3434
	total	4.1221	5.0381	9.160
test statistic X2 =	9.1602

option C is correct