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.
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
evidence state a detailed conclusion.
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