Back to 11.2 Goodness-of-Fit Test

11.2 Exercise 32

Avg difficulty 2.5

Use the following information to answer the next two exercises. UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students’ expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results are shown in the tables for the exercise and the exercise. The second column in each table does not add to 100 percent because of rounding.

Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Major Females—Expected Major Females—Actual Major
Arts & Humanities 14% 670
Biological Sciences 8.4% 410
Business 13.1% 685
Education 13% 650
Engineering 2.6% 145
Physical Sciences 2.6% 125
Professional 18.9% 975
Social Sciences 13% 605
Technical 0.4% 15
Other 5.8% 300
Undecided 8% 420

OpenStax Statistics, 11.2 Goodness-of-Fit Test, exercise 32

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.