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

Verify that the requirements for performing a​ chi-square test of independence are satisfied. Select all requirements for a​ chi-square test of independence.

A. The population is approximately Normal.

B. No more than​ 20% of the expected frequencies are less than 5.

C. All expected frequencies are greater than or equal to 1

Answer 1

Necessary conditions for chi square test are

(A) All expected frequencies must be greater than or equal to 5

(B) No more than​ 20% of the expected frequencies are less than 5

option A is incorrect because chi square test is a non parametric which do not require population to be normally distributed

option B is correct because no more than​ 20% of the expected frequencies are less than 5 is a necessary condition. If we have more than 20% of the expected frequencies greater than 5, then result is not much reliable

option C is incorrect because we need minimum expected frequency of 5 or more.

option B is correct answer