Research has demonstrated strong gender differences in teenagers\' approaches to

Question

Research has demonstrated strong gender differences in teenagers' approaches to dealing with mental health issues (Chandra & Minkovitz, 2006). In a typical study, eighth-grade students are asked to report their willingness to use mental health services in the event they were experiencing emotional or other mental health problems. Typical data for a sample of n = 150 students are shown in the following table. a. Do the data show a significant relationship between gender and willingness to seek mental health assistance? Test with alpha = .05. b. Compute Cramer's V to measure the size of the treatment effect.

Explanation / Answer

a)

for above degree of freedom =2 and chi stat =8.2315

which gives p value =0.0163

as p value is less then 0.05 level we reject null hypothesis and conclude that there exist a significant relationship b/w gender and willing ness to seek mental health assistance.

b)Cramer V =(X2/(n(k-1)))1/2  where k=2 and n=150

=0.2342

Observed O probably no maybe probably Yes Total male 17 32 11 60 female 13 43 34 90 Total 30 75 45 150 Expected E=rowtotal*column total/grand total probably no maybe probably Yes Total male 12.0 30.0 18.0 60 female 18.0 45.0 27.0 90 Total 30 75 45 150 chi square =(O-E)^2/E probably no maybe probably Yes Total male 2.083 0.133 2.722 4.939 female 1.389 0.089 1.815 3.293 Total 3.472 0.222 4.537 8.2315

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