Question

A sociologist randomly selects 377 females 15 to 19 years old and asks each to disclose her family structure at age 14 and whether she has had sexual intercourse.

Had sexual intercourse	Both Biological or Adoptive Parents	Single Parent	Parent and Stepparent	Nonparental Guardian
Yes	43	60	63	33
No	35	42	84	17

Compute the​ chi-square test statistic.

x₀^​​​​² = ______

​(Round to three decimal places as​ needed.)

Answer 1

applying chi square test:

Expected	Ei=row total*column total/grand total	both Biological and Adoptive	Single	Parent and Stepparent	Non parental guardian	Total
	Yes	41.17	53.84	77.59	26.39	199
	No	36.83	48.16	69.41	23.61	178
	total	78	102	147	50	377
chi square    χ2	=(Oi-Ei)2/Ei	both Biological and Adoptive	Single	Parent and Stepparent	Non parental guardian	Total
	Yes	0.0811	0.7046	2.7449	1.6542	5.185
	No	0.0907	0.7877	3.0688	1.8493	5.796
	total	0.172	1.492	5.814	3.504	10.981

chi-square test statistic X² =10.981