A subtle form of racial discrimination in housing is \"racial steering.\" Racial

Question

A subtle form of racial discrimination in housing is "racial steering." Racial steering occurs when real estate agents show prospective buyers only homes in neighborhoods already dominated by that family's race. Tenants at a large apartment complex recently filed a lawsuit alleging racial steering. The plaintiffs claimed that whitewhite potential renters were steered to Section A, while African-American 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.

A. Find the 2 Statistic (Round to three decimal places as needed.)

B. Find the P-value (Round to four decimal places as needed)

- White Black Total Section_A 94 9 103 Section_B 86 28 114 Total 180 37 217

Explanation / Answer

from above contingency table

here degree of freedom =1

and   2 Statistic =9.579

for above chi stat p value =0.0020

as p vlaue is significantly low we reject that section and race are independent.

Observed O white Black Total Section _A 94 9 103 Section _B 86 28 114 Total 180 37 217 Expected E=rowtotal*column total/grand total white Black Total Section _A 85.438 17.562 103 Section _B 94.562 19.438 114 Total 180 37 217 chi square =(O-E)^2/E white Black Total Section _A 0.858 4.174 5.032 Section _B 0.775 3.772 4.547 Total 1.633 7.946 9.579

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