The Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004.  Of particular interest were the percentages of female faculty in the College of Education and in the College of Business .  In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females.  Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ?   a. (0.075, 0.405).   b. (0.123, 0.357).   c. (-0.012, 0.252).   d. (0.058, 0.422).   e. (0.101, 0.379).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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  1. The Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004.  Of particular interest were the percentages of female faculty in the College of Education and in the College of Business .  In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females.  Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ?

      a.

    (0.075, 0.405).

      b.

    (0.123, 0.357).

      c.

    (-0.012, 0.252).

      d.

    (0.058, 0.422).

      e.

    (0.101, 0.379).

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