Question

As a high school principal with a sociology background, you are interested in a possible relationship between the level of substance abuse among students and their families’ tendency to share cultural/religious traditions. You randomly select 30 students and, with parents’ permission, administer a questionnaire where students note the number of times a week family members all participate in a shared cultural or religious event. You also ask whether they have abused drugs in the last week. Group one report no religious/cultural observance. Group two report at least one religious/cultural observance per week. Group three are those who reported more than one religious/cultural observance per week. The data are as follows:

(Take a screenshot of chi square on spss)

Group 1…. of 12, 9 reported some substance abuse in the last week.

Group 2…. of 9, 6 reported some abuse.

Group 3…. of 9 2 reported some abuse.

1. What does the null hypothesis predict about the relationship between family observance and substance abuse?
2. Do you accept the null hypothesis here?
3. What is the value of X²?

Answer 1

a Null hypothesis. Ho . Т here is no relationship between family observance and substance abuse Alter native hypothesis, H1: There is a relationship between family observance and substance abuse Substance abuse Totals No es Group 1 family observance Group 2 Group 3 Total s 6 f21 3 = f22 9=f20 13 - fo2 30-N ei - expected frequency of (i,j)th cell; i 1,2,3; j 1,2 eij-m fofoj : ell = (17 * 12)/30 6.8, e12 = (13 * 12)/30= 5.2 12 ΣΣ(fyeieリ)2 = (9-6.8)2/6.84 (3-52ツ5.2+ (6-5.1ッ5.1+ (3 - 3.9)2/3.9+(2 5.1)/5.1(7- 3.9)2/3.9 6.3575 p-value = P(X2 > 6.3575|X2 ~ χ訇= 0.0416 < 0.05 Hence we reject the null hypothesis at 5% level of significance c, X = 6.3575