Answered: A study of the career plans of young…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study of the career plans of young women and men sent questionnaires to all members of the senior class in a College of Business Administration at the University of Illinois. One
question asked which major within the business program the student had chosen. Another question asked about their job status, whether they worked full-time (40+ hours/week) or part-time (<40 hours/week). Here are the data from the students who responded.

	accounting	administration	economics	total
work full time	68	91	5	164
work part time	56	40	6	102
total	124	131	11	266

The expected number of responses were tabulated as the following:

	accounting	administration	economics	total
work full time	76.45	80.77	6.78	164
work part time	47.55	50.23	4.22	102
total	124	131	11	266

Conduct a χ2 test at α = .005 to determine if the job status of the students is independent of
their choice of major.

On all hypothesis test: 1) clearly state the null and alternative hypotheses; 2) sketch a graph of the rejection region labeled with the critical value; 3) calculate the test statistic (showing work) and p-value (give a range for t, chi-square, and F), and 4)using
evidence state a detailed conclusion.

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