Question

You think that there might be a relationship between race and the number of property crimes a defendant has committed. To test this hypothesis, you take a random sample of 360 defendants convicted of a crime, examine their criminal records, and count the number of property crimes they have committed. Here are your data:

	Number of Property Crimes
Race	0-4	5 or more		Total
Non-White	77	33	33	110
White	180	70	70	250
Total	257	103	103	3

			.149		1	.700
									.706			.395
			.149		1	.699
			360
								Number of Property Crimes					Total
								0-4 crimes		5 or more crimes
	Non-White			% within Race of Defendant				70.0%		30.0%			100.0%
				% within Number of Property Crimes				30.0%		32.0%			30.6%
				% of Total				21.4%		9.2%			30.6%
	White			% within Race of Defendant				72.0%		28.0%			100.0%
				% within Number of Property Crimes				70.0%		68.0%			69.4%
				% of Total				50.0%		19.4%			69.4%
				% within Race of Defendant				71.4%		28.6%			100.0%
				% within Number of Property Crimes				100.0%		100.0%			100.0%
				% of Total				71.4%		28.6%			100.0%
											Value			Asymptotic Standard Errora			Approximate T	Approximate Significance
		Lambda					Symmetric				.000			.000			.b	.b
							Race of Defendant Dependent				.000			.000			.b	.b
							Number of Property Crimes Dependent				.000			.000			.b	.b
		Goodman and Kruskal tau					Race of Defendant Dependent				.000			.002				.699c
							Number of Property Crimes Dependent				.000			.002				.699c

Answer 1

The hypothesis being tested is:

H0: There is no relationship between race and the number of property crimes a defendant has committed

Ha: There is a relationship between race and the number of property crimes a defendant has committed

The p-value is 0.000.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a relationship between race and the number of property crimes a defendant has committed.