Question

A psychologist studying addiction tests whether cravings for cocaine and relapse are independent. The following table lists the observed frequencies in the small sample of people who use drugs.

Obs. Freq.		Relapse
		Yes	No
Cravings	Yes	21	11	32
	No	8	17	25
		29	28	N = 57

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)
(the correct symbols won't transfer but it is as follows) X^2obt =  

Decide whether to retain or reject the null hypothesis.

Retain the null hypothesis.

Reject the null hypothesis.     

(b) Compute effect size using ϕ and Cramer's V. Hint: Both should give the same estimate of effect size. (If necessary, round your intermediate steps to two or more decimal places. Round your answers to two decimal places.)

ϕ	=
V	=

Answer 1

The statistical software output for this problem is :

(a)

= 6.35

Reject the null hypothesis.     

(b)

= 0.33

V = 0.33