A university is subdivided into faculties of Arts, Engineering, Humanities, Law and Science. The numbers of students in these faculties are 1300, 800, 1100, 500 and 1400 respectively. A questionnaire concerning library usage is sent to all the students. The first 300 replies opened contained 101 from Arts students, 30 from Engineering students and 69, 17 and 83 from students of the other three faculties respectively. Using a 0.1% significance level, test whether the replies appear to be providing an unbiased representation of the students in the university.

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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A university is subdivided into faculties of Arts, Engineering, Humanities, Law and
Science. The numbers of students in these faculties are 1300, 800, 1100, 500 and 1400
respectively. A questionnaire concerning library usage is sent to all the students. The first
300 replies opened contained 101 from Arts students, 30 from Engineering students and
69, 17 and 83 from students of the other three faculties respectively. Using a 0.1%
significance level, test whether the replies appear to be providing an unbiased
representation of the students in the university. 

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