Use the following information to answer the next two exercises: UCLA conducted a survey of more than 263,000 first-year students from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in
Conduct a goodness-of-fit test to determine if the actual college majors of graduating women fit the distribution of their expected majors.
| Major | Women - Expected Major | Women - Actual Major |
| Arts & Humanities | 14.0% | 670 |
| Biological Sciences | 8.4% | 410 |
| Business | 13.1% | 685 |
| Education | 13.0% | 650 |
| Engineering | 2.6% | 145 |
| Physical Sciences | 2.6% | 125 |
| Professional | 18.9% | 975 |
| Social Sciences | 13.0% | 605 |
| Technical | 0.4% | 15 |
| Other | 5.8% | 300 |
| Undecided | 8.0% | 420 |
OpenStax Introductory Statistics 2e, 11.2 Goodness-of-Fit Test, exercise 32