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

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 Exercise 11.91 and Exercise 11.92. The second column in each table does not add to 100% because of rounding.

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Major Women Expected Major Arts & Humanities 14.0% - Women - Actual Major 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 Table 11.34