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 a certain year. Suppose a survey of 5,000 graduating women and 5,000 graduating men 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% because of rounding.
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 Business Statistics 2e, 11.3 Goodness-of-Fit Test, exercise 30