Question

Researchers were interested in determining whether there was a difference in crime rates in areas where there is high youth unemployment vs low youth unemployment. Alpha (level of significance) was set at .05.

2. State the null and alternate hypotheses.
3. What is the independent variable?
4. What is the dependent variable?
5. Complete the table below:

	Low Youth Unemployment	High Youth Unemployment
Sample Size
Sample Mean
Sample Standard Deviation
Estimated Standard Error

Group Statistics
	High Youth Unemployment	N	Mean	Std. Deviation
Crime rate (number of offences per million population)	0 No	32	108.4063	27.32246
	1 Yes	15	90.8667	29.42049

Group Statistics
	High Youth Unemployment	Std. Error Mean
Crime rate (number of offences per million population)	0 No	4.82997
	1 Yes	7.59634

Answer 1

Result:

Researchers were interested in determining whether there was a difference in crime rates in areas where there is high youth unemployment vs low youth unemployment. Alpha (level of significance) was set at .05.

State the null and alternate hypotheses.

Ho: µ1 = µ2   H1: µ1 ≠ µ2

Ho: there is no mean difference in crime rates between low and high youth unemployment .

H1: there is a mean difference in crime rates between low and high youth unemployment .

What is the independent variable?

Level of youth unemployment(low and high)

What is the dependent variable?

Crime rate

Complete the table below:

	Low Youth Unemployment	High Youth Unemployment
Sample Size	32	15
Sample Mean	108.4063	90.8667
Sample Standard Deviation	27.32246	29.42049
Estimated Standard Error	4.82997	7.59634

Group Statistics
	High Youth Unemployment	N	Mean	Std. Deviation
Crime rate (number of offences per million population)	0 No	32	108.4063	27.32246
	1 Yes	15	90.8667	29.42049

Group Statistics
	High Youth Unemployment	Std. Error Mean
Crime rate (number of offences per million population)	0 No	4.82997
	1 Yes	7.59634

Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference	0
Level of Significance	0.05
Population 1 Sample
Sample Size	32
Sample Mean	108.4063
Sample Standard Deviation	27.32246
Population 2 Sample
Sample Size	15
Sample Mean	90.8667
Sample Standard Deviation	29.42049
Intermediate Calculations
Population 1 Sample Degrees of Freedom	31
Population 2 Sample Degrees of Freedom	14
Total Degrees of Freedom	45
Pooled Variance	783.5541
Standard Error	8.7592
Difference in Sample Means	17.5396
t Test Statistic	2.0024
Two-Tail Test
Lower Critical Value	-2.0141
Upper Critical Value	2.0141
p-Value	0.0513
Do not reject the null hypothesis

 Test statistic  t = 2.0024

DF = n1+n2-2 =45

Table value of t with 45 DF at 0.05 level = 2.0141

Rejection Region: Reject Ho if t < -2.0141 or t > 2.0141

Calculated t = 2.0024, not in the rejection region

The null hypothesis is not rejected.

We conclude that there was no mean difference in crime rates between low and high youth unemployment .