A sociologist randomly selects 771 females 15 to 19 years old and asks each to disclose...

A sociologist randomly selects 771 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	70	68	68	68
Had not abused drugs	126	146	157	68

(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

(Round to three decimal places as needed.)

(b) Compute the chi-square test statistic. χ2=

(Do not round until the final answer. Then round to three decimal places as needed.)

(c) Test whether family structure and drug history of 15- to 19-year-old females are independent at the α=0.05 level of significance.

Expert Solution

orchestra answered 2 years ago

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