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

cravings: Yes No

Yes 21 10 31

No 7 17 24

2827 N=55

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)

X2obt=

(b) Compute effect size using 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.) = V =