CHI SQUARE QUESTION 6. 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 Table 17.8. Do the data show a significant relationship between gender and willingness to seek mental health assistance? Note: This is an example for a Chi-Square Test for Independence.

Probably No Maybe Probably Yes Males 17 32 11 60 Females 13 43 34 90

total= 30 + 75 +45 n = 150

Demonstrate the 4 steps of hypothesis testing, with an alpha level of .05. In addition, provide a table with expected frequencies. The expected frequencies must maintain the same row totals and column totals, and make an ideal frequency distribution that perfectly represents the null hypothesis. Specifically, the proportions for the group of 60 males must be the same as the proportions for the group of 90 females. For the proportion of "Probably No", we would do 30/150 = 20%. So for Males, we know that 20% of the males will fall the "Probably No" category = 20% of 60 males = 12

Hypotheses

Critical Value:

Expected values: Probably No Maybe Probably Yes Males 12 60 Females 90 30 75 45 n = 150

Chi square statistic and work:

Make a decision and conclusion - Do you reject, or accept the null hypothesis? Why?