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

Major Women -Expected MajorWome -Actual Major
Arts & Humaities 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

Short Answer

Expert verified

There is insufficient evidence to conclude that the distribution of actual college majors of graduating females fits the distribution of their expected majors.

Step by step solution

01

Given Information

Major Women -Expected MajorWome -Actual Major
Arts & Humaities 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
02

Explanation

H0: The actual college majors of graduating females fit the distribution of their expected majors.

Ha: The actual college majors of graduating females do not fit the distribution of their expected majors.

The degree of freedom is df=10.

chi-square distribution with df=10

Test statistic =11.48.

p-value =0.3211.

03

Explanation

α=0.05

Decision: Do not reject null when a=0.05and a=0.01Reason for decision: p-value>α.

Conclusion: There is insufficient evidence to conclude that the distribution of actual college majors of graduating females fits the distribution of their expected majors.

04

Final Answer

There is insufficient evidence to conclude that the distribution of actual college majors of graduating females fits the distribution of their expected majors.

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