Question

Altamura, Dell'Osso, Vismara, and Mundo (2008) measured the relationship between gender and duration of untreated illness (DUI) among a sample of those suffering from major depressive disorder (MDD). The following table lists the observed frequencies from this study.

		Duration of Untreated Illness
		DUI ≤ 12 Months	DUI > 12 Months
Gender	Men	20	5	25
	Women	55	33	88
		75	38	N = 113

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

- Decide whether to retain or reject the null hypothesis.

Answer 1

The statistical software output for this problem is :

Contingency table results:

Rows: Gender
Columns: None

	< =12	> 12	Total
M	20	5	25
W	55	33	88
Total	75	38	113

Chi-Square test:

Statistic	DF	Value	P-value
Chi-square	1	2.6713596	0.1022

Test statistics is $\chi^2$   = 2.67136

P-value = 0.1022

P-value > 0.05

Fail to reject the null hypothesis .

Conclusion :

retain the null hypothesis.