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19. In 1970, an investigation was launched into whether Chicago banks had been discriminating in who they gave loans to specifically whether they were approving loans for black residents at lower rates than others. An SRS of size 1000 residents is taken, and the following two-way table was created: Loan Approved Loan Denied Total Black Not Black Total 560 310 870 66 64 130 599 401 1000 (a) Calculate what you would expect the values to be if there were no discrimination. (b) Calculate the value, and use the given table to determine if the result is significant at the a = .05 level.

19. In 1970, an investigation was launched into whether Chicago banks had been discriminating in who they gave loans to specifically whether they were approving loans for black residents at lower rates than others. An SRS of size 1000 residents is taken, and the following two-way table was created: Loan Approved Loan Denied Total Black Not Black Total 560 310 870 66 64 130 599 401 1000 (a) Calculate what you would expect the values to be if there were no discrimination. (b) Calculate the value, and use the given table to determine if the result is significant at the a = .05 level.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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19. In 1970, an investigation was launched into whether Chicago banks had been discriminating in who they gave loans to specifically whether they were approving loans for black residents at lower rates than others. An SRS of size 1000 residents is taken, and the following two-way table was created: Black Not Black Total Loan Approved 66 560 Loan Denied 64 310 Total 130 870 599 401 1000 (a) Calculate what you would expect the values to be if there were no discrimination. (b) Calculate the x² value, and use the given table to determine if the result is significant at the a = .05 level.
Transcribed Image Text:19. In 1970, an investigation was launched into whether Chicago banks had been discriminating in who they gave loans to specifically whether they were approving loans for black residents at lower rates than others. An SRS of size 1000 residents is taken, and the following two-way table was created: Black Not Black Total Loan Approved 66 560 Loan Denied 64 310 Total 130 870 599 401 1000 (a) Calculate what you would expect the values to be if there were no discrimination. (b) Calculate the x² value, and use the given table to determine if the result is significant at the a = .05 level.
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ISBN:
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