A subtle form of racial discrimination in housing is "racial steering." racial steering occurs when real estate agents show pro
spective 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. do you think there is evidence of racial steering
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
1 answer:
B. H0 : 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.
Find the χ2 statistic
Solution
The formula for calculating χ2 statistic is given by ;
χ2∗ =∑(Oi−Ei)2/Ei, where Oi and Ei is the i^th observation and the i^th expected count
From the given data calculated the expected count using the formula; E = (row total *column total)/sample size
χ2 = 7.104439336,
χ2 = 7.104 (rounded to 3 decimal .places)
The P-value is;
Degrees of freedom = (2-1)*(2-1) = 1, χ2 = 7.1044
P-value from chi-square calculator is 0.007689
H A: There is an association between race and the section of the apartment complex.
Find the χ2 statistic
Solution
The formula for calculating χ2 statistic is given by ;
χ2∗ =∑(Oi−Ei)2/Ei, where Oi and Ei is the i^th observation and the i^th expected count
From the given data calculated the expected count using the formula; E = (row total *column total)/sample size
χ2 = 7.104439336,
χ2 = 7.104 (rounded to 3 decimal .places)
The P-value is;
Degrees of freedom = (2-1)*(2-1) = 1, χ2 = 7.1044
P-value from chi-square calculator is 0.007689
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Answer:
$106,595
Explanation:
Given:
Initial market rate = 9%
Dropped market interest rate, r = 7% per year
or
= 7% × [6 ÷ 12]
= 3.5% = 0.035
Remaining time, n = 9 years = 18 semi annual periods
Now,
Value of the bond at the retirement
= [ PVAF × Interest payment] + [ PVF × face value]
here,
Present value of annuity factor, PVAF =
or
PVAF =
or
PVAF = 13.189
And,
Interest payment = $100,000 × 8% × [6 ÷ 12 ] [since, 8% bonds]
= $4000
Present value factor =
= 0.538
par value = $100,000
= [13.189 × $40] + [0.538 × 100,000]
= 52,758.7316 + 53,836.114
= $106,595
Hence,
The correct answer is option $106,595