Chapter 3, Problem 27E

To determine

To find: that the in exercise 25 is it looks that the admissions decisions made independent of the applicant’s ethnicity.

Explanation of Solution

Given:

	Accepted	Wait-listed	Turned away	Total
Black/Hispanic	485	0	32	517
Asian	110	49	133	292
White	336	251	359	946
Total	931	300	524	1755

Calculation:

Overall percentage of students accepted

  $\frac{931}{1755}\times 100\%=53.0\%$

For Black/Hispanic students accepted

  $\frac{485}{517}\times 100\%=93.8\%$

For percentage of Asian students accepted

  $\frac{110}{292}\times 100\%=37.7\%$

For percentage of white students accepted

  $\frac{336}{946}\times 100\%=35.5\%$

The percentages of the students turned away. So

Overall percentage of students turned away.

  $\frac{524}{1755}\times 100\%=29.9\%$

For percentage of Black/Hispanic students turned away

  $\frac{32}{517}\times 100\%=6.2\%$

For percentage of Asian students turned away

  $\frac{133}{292}\times 100\%=45.5\%$

For percentage of white students turned away

  $\frac{359}{946}\times 100\%=37.9\%$

From the 1755 students 29.9% were turned away where turned away rate of Black/ Hispanic applicants is 6.2% which is too much lesser than the turned away rate of Asians 45.5% and the turned away rate of white students 37.9%.