Problem

A university and several industries developed a work-study program in the surrounding comm...

A university and several industries developed a work-study program in the surrounding community. Students were to work with industrial sociologists during a 3-month internship. Equal numbers of students from the university worked in a chemical, a textile, and a pharmaceutical industry. Students completing the program were classified according to the industry in which they interned. Consider the following data as a random sample of the many students who could have completed the program. Test the null hypothesis that the probability that a finishing student interned in a pharmaceutical, chemical, or textile industry is 1/3. Use α = .01 with n; the number of students in group ni finishing the program.

Group

ni

Pharmaceutical

20

Chemical

13

Textile

30

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