Question

A sociologist randomly selects 791 females 15 to 19 years old and asks each to disclose her family structure at age 14 and whether she has abused drugs. Use the results in the table to answer the questions below.

	Structure 1	Structure 2	Structure 3	Structure 4
Had abused drugs	69	69	60	65
Had not abused drugs	102	153	153	120

(a) Compute the expected values of each cell under the assumption of independence.

	Structure 1	Structure 2	Structure 3	Structure 4
Had abused drugs
Had not abused drugs

(b) Compute the chi-square test statistic.

(c) Test whether family structure and drug history of​ 15- to​ 19-year-old females are independent at the

alpha=0.05 level of significance.

Answer 1