A subtle of racial discrimination in housing is \"racial steering\" Racial steer
ID: 3124761 • Letter: A
Question
A subtle of racial discrimination in housing is "racial steering" Racial steering occurs when real estate agent show prospective buyers only homes in neighborhoods already dominated by that family's race. Tennant at a large apartment complex recently filed a lawsuit alleging racial steering. The plaintiff claimed that white potential renters were steered to Section A, while African-America renters were steered to Section B. The accompanying table displays the data that were presented in court to show the locations of recently rented apartments. Do you think there is evidence of racial steering? State the null and alternative hypotheses. Choose the correct answer below. H_0 : More whites rent in section A. H_A : More African - American rent in section B. H_0 : there is no association between race and the section of the apartment complex. H_a : There is an association between race and the section of the apartment complex. H_0 : More African - American rent in section A. H_A : More whites rent in Section B. H_0 : There is an association between race and the section of the apartment complex. H_a : There is no association between race and the section of the apartment complex. Find the X^2 statistic. X^2 = (Round to three decimal places as needed)Explanation / Answer
Chi-Square Test
Observed Frequencies
Column variable
Calculations
white
African-American
Total
fo-fe
A
85
7
92
8.2563
-8.2563
B
81
26
107
-8.2563
8.2563
Total
166
33
199
Expected Frequencies
Column variable
white
African-American
Total
(fo-fe)^2/fe
A
76.7437
15.2563
92
0.8882
4.4681
B
89.2563
17.7437
107
0.7637
3.8417
Total
166
33
199
Data
Level of Significance
0.05
Number of Rows
2
Number of Columns
2
Degrees of Freedom
1
Results
Critical Value
3.841
Chi-Square Test Statistic
9.962
p-Value
0.0016
Reject the null hypothesis
Answer: Chi square =9.962
Chi-Square Test
Observed Frequencies
Column variable
Calculations
white
African-American
Total
fo-fe
A
85
7
92
8.2563
-8.2563
B
81
26
107
-8.2563
8.2563
Total
166
33
199
Expected Frequencies
Column variable
white
African-American
Total
(fo-fe)^2/fe
A
76.7437
15.2563
92
0.8882
4.4681
B
89.2563
17.7437
107
0.7637
3.8417
Total
166
33
199
Data
Level of Significance
0.05
Number of Rows
2
Number of Columns
2
Degrees of Freedom
1
Results
Critical Value
3.841
Chi-Square Test Statistic
9.962
p-Value
0.0016
Reject the null hypothesis
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