Question

Debates about which of two famous Korean TV drama is better circulated to social media; Descendants of the Sun and Love in Moonlight. A curious researcher thinks that gender is associated to a person's preference between the two shows. He asked some people who watched both which one is better. The gathered information is shown below

Gender	Descendants of the Sun	Love in Moonlight
Male	96	149
Female	78	121

Question: Test for the independence of gender and TV series preference at 5% level of significance.

Answer 1

Ans:

	Descendants of Sun	Love in Moonlight	Total
Male	96	149	245
Female	78	121	199
Total	174	270	444
	Expected(fe)
	Descendants of Sun	Love in Moonlight	Total
Male	96.01	148.99	245
Female	77.99	121.01	199
Total	174	270	444
	Chi square=(fo-fe)^2/fe
	Descendants of Sun	Love in Moonlight	Total
Male	0.00	0.00	0.00
Female	0.00	0.00	0.00
Total	0.00	0.00	0.00

Test statistic:

Chi square=0.00

Critical chi square=CHIINV(0.05,1)=3.841

Fail to reject the null hypothesis and we can conclude that gender and TV series preference are independent.