Question

2.         The table listed below communicates the results of a statistical test exploring the relationship between different types of bully victimizations (cyber, verbal, and physical) and individual reports of mental health (depression and suicide ideation). The victimization variables are all categorical (yes/no) and the depression and suicide ideation measures are scored on an interval/ratio level such that higher values are indicative of the respondent experiencing higher levels of depression and suicide ideation. Write a paragraph summarizing the relationship between different types of victimizations (cyber, verbal, and physical) and mental health status (depression and suicide ideation). Pay particular attention to significant and non-significant findings (i.e., *p < .01 indicates that the finding is significant at the .01 level).

*Please show all work*

Table 2.     Mean Differences on Outcome Measures Across Victim Status

	Cyber Bully Victim			Verbal Bully Victim			Physical Bully Victim
	Yes	No	t	Yes	No	t	Yes	No	t
Depression	4.62 (4.41)	2.28 (3.21)	-1.48	3.27 (3.71)	1.87 (3.06)	-9.50*	3.57 (3.89)	2.20 (3.22)	-7.71*
Suicide Ideation	1.39 (1.98)	0.55 (1.36)	-0.97	0.91 (1.70)	0.39 (1.15)	-8.56*	1.05 (1.80)	0.51 (1.32)	-6.86*

*p < .01

Note: Means are reported with standard deviations in parentheses.

Answer 1

The hypothesis test for Cyber Bully Victim shows Depression

The Null and Alternative Hypotheses

Where, is mean score who are Cyber Bully Victim and   is mean score who are not Cyber Bully Victim

The t statistic is used to compare the two population means and the significance level for the test is

From the table, the t statistic is,

	Cyber Bully Victim
	Yes	No	t-statistic	P-value
Depression	4.62	2.28	-1.48	>0.01	Not Significant

The corresponding P-value is >0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is not rejected. Hence we can conclude that there no evidence that Cyber Bully Victim shows Depression.

The hypothesis test for Cyber Bully Victim shows Suicide Ideation

From the table, the t statistic is,

	Cyber Bully Victim
	Yes	No	t-statistic	P-value
Suicide Ideation	1.39	0.55	-0.97	>0.01	Not Significant

The corresponding P-value is >0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is not rejected. Hence we can conclude that there no evidence that Cyber Bully Victim shows Suicide Ideation.

The hypothesis test for Verbal Bully Victim shows Depression

From the table, the t statistic is,

	Verbal Bully Victim
	Yes	No	t-statistic	P-value
Depression	3.27	1.87	-9.50*	<0.01	Significant

The corresponding P-value is <0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is rejected. Hence we can conclude that there is enough evidence that Verbal Bully Victim shows Depression.

The hypothesis test for Verbal Bully Victim shows Suicide Ideation

From the table, the t statistic is,

	Verbal Bully Victim
	Yes	No	t-statistic	P-value
Suicide Ideation	0.91	0.39	-8.56*	<0.01	Significant

The corresponding P-value is <0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is rejected. Hence we can conclude that there is enough evidence that Verbal Bully Victim shows Suicide Ideation.

The hypothesis test for Physical Bully Victim shows Depression

From the table, the t statistic is,

	Physical Bully Victim
	Yes	No	t-statistic	P-value
Depression	3.57	2.2	-7.71*	<0.01	Significant

The corresponding P-value is <0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is rejected. Hence we can conclude that there is enough evidence that Physical Bully Victim shows Depression.

The hypothesis test for Physical Bully Victim shows Suicide Ideation

From the table, the t statistic is,

	Physical Bully Victim
	Yes	No	t-statistic	P-value
Suicide Ideation	1.05	0.51	-6.8	<0.01	Significant

The corresponding P-value is <0.01 at the 1% significance level for the two sided alternative hypothesis. Hence, it can be concluded that the null hypothesis is rejected. Hence we can conclude that there is enough evidence that Physical Bully Victim shows Suicide Ideation.