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 for females are shown in the table below. The second column in the table does not add to 100% 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. (Use a significance level of 0.05.) Women - Expected Major Major Women - Actual Major Art & Humanities 14.0% 670 Biological Sciences 8.4% 410 Business 13.1% 685 Education 13.0% 650 Engineering 2.6% 145 2.6% 125 Physical Sciences Professional 18.9% 975 605 Social Sciences 13.0% 15 Technical 0.4% 300 Other 5.8% 420 Undecided 8.0% What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.)

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 for females are shown in the table below. The second column in the table does not add to 100% 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. (Use a significance level of 0.05.) Women - Expected Major Major Women - Actual Major Art & Humanities 14.0% 670 Biological Sciences 8.4% 410 Business 13.1% 685 Education 13.0% 650 Engineering 2.6% 145 2.6% 125 Physical Sciences Professional 18.9% 975 605 Social Sciences 13.0% 15 Technical 0.4% 300 Other 5.8% 420 Undecided 8.0% What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.)

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Description: UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall2005. The results of students' expected majors by gender were reported in The Chronicle ofHigher Education (2/2/2006). Suppose a survey of 5,000 graduating female

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 23PPS

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

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 for females are shown in the table below. The second column in the table does not
add to 100% 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. (Use a significance level of 0.05.)
Major
Women - Expected Major
Women - Actual Major
Art & 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
18.9%
975
Professional
13.0%
605
Social Sciences
15
Technical
0.4%
300
Other
5.8%
420
Undecided
8.0%
What is the test statistic? (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)

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