Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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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.

Expert Solution & Answer
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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

  9311755×100%=53.0%

For Black/Hispanic students accepted

  485517×100%=93.8%

For percentage of Asian students accepted

  110292×100%=37.7%

For percentage of white students accepted

  336946×100%=35.5%

The percentages of the students turned away. So

Overall percentage of students turned away.

  5241755×100%=29.9%

For percentage of Black/Hispanic students turned away

  32517×100%=6.2%

For percentage of Asian students turned away

  133292×100%=45.5%

For percentage of white students turned away

  359946×100%=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%.

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