Question

The following table is taken from the results of a longitudinal study of children from a working class community. The study began when these children entered kindergarten and were four or five years old. The information reported below was collected when the respondents were 18.

Using the information from the table below, answer the following questions:

Started fight before the age of 15

	Boys	Girls	Row Total
No	163	184	347
	(47.0%)	(53.0%)	(89.9%)
Yes	32	7	39
	(82.1%)	(17.9%)	(10.1%)
Column Total	195	191	Grand Total
	(50.5%)	(49.5 %)	386

χ² = 15.9; p <.05

1. What percentage of boys started fights before the age of 15?
2. How many girls responded that they did not start fights before age of 15?
3. Are the proportions of children who started fights similar or different for boys and girls? If yes how are they similar? If no, how are they different?
4. Are these variables significantly related? Indicate the statistical information you used to make your decision.
5. What are the social work interventions of these findings?

Answer 1

32 1) The 16.41 5 0rcentage of boys started fights before the age of i5. 2) The 184 girls responded that they did not start fights before age of 15,. 3) No, the proportions ofchildren who started fights different for boys and girls Explanation: The proportions of boys who started fights is--0.1641 The proportions of girls who started fights is-0.0366 Hence the proportions of children who started fights different for boys and girls 32 195 191 4) Yes, these variables are significantly related Explanation: Ho: The variables Started fight before the age of 15 (No/ Yes) and gender (Boys/ Girls) are independent. Hi: The variables Started fight before the age of 15 (No/ Yes) and gender (Boys/ Girls) are dependent. The p-value of chi-square test statistic is less than 0.05. Thus we reject null hypothesis at 5% level of significance and conclude that variables Started fight before the age of 15 (No/ Yes) and gender (Boys/ Girls) are dependent i.e. these variables are significantly related. 5) The social work interventions of these findings is that, the proportions of boys who started fights before age 15 is greater than that of girls who started fights before age 15